document.write( "Question 507193: I am having problems with Algebra/Trigonometry sticking in my brain. I did this problem 3x+4= -8
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\n" ); document.write( "\n" ); document.write( "What I don't understand is what happens to the 3???\r
\n" ); document.write( "\n" ); document.write( "My next problem is 2(x+7)=5x+14 I don't know where to start??
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Algebra.Com's Answer #340368 by Edwin McCravy(20054)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You skipped a couple of steps\r\n" );
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document.write( "We started with this\r\n" );
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document.write( "3x+4 = -8\r\n" );
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document.write( "Then we wanted to get the +4 off of the left side so we\r\n" );
document.write( "add -4 to both sides like this\r\n" );
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document.write( "3x+4 = -8\r\n" );
document.write( "  -4 = -4\r\n" );
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document.write( "Then we draw a line:\r\n" );
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document.write( "3x+4 = -8\r\n" );
document.write( "  -4 = -4\r\n" );
document.write( "----------\r\n" );
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document.write( "Then we bring down the 3x, we don't write anything under\r\n" );
document.write( "the +4 and -4 because they cancel.  We bring down the\r\n" );
document.write( "= sign and we combine -8 and -4 and get -12.\r\n" );
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document.write( "3x+4 = -8\r\n" );
document.write( "  -4 = -4\r\n" );
document.write( "----------\r\n" );
document.write( "3x   = -12\r\n" );
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document.write( "You skipped that step.  Next we want to get rid of the 3.\r\n" );
document.write( "That is a multiplied 3, so we will need to divide both\r\n" );
document.write( "sides by 3, to do that we put a fraction bar under each side\r\n" );
document.write( "and put a 3 as a denominator, like this\r\n" );
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document.write( "3x+4 = -8\r\n" );
document.write( "  -4 = -4\r\n" );
document.write( "----------\r\n" );
document.write( "3x   = -12\r\n" );
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document.write( "3x     -12 \r\n" );
document.write( "———— = ————— \r\n" );
document.write( " 3       3\r\n" );
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document.write( "You also skipped that step. Now the 3's cancel and just leave \r\n" );
document.write( "an x on the left, and we divide the -12 by 3 and get -4\r\n" );
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document.write( "3x+4 = -8\r\n" );
document.write( "  -4 = -4\r\n" );
document.write( "----------\r\n" );
document.write( "3x   = -12\r\n" );
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document.write( " 3x     -12 \r\n" );
document.write( "———— = ————— \r\n" );
document.write( " 3       3\r\n" );
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document.write( "   x = -4  \r\n" );
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document.write( "----------------------------------\r\n" );
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document.write( "We start with this:\r\n" );
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document.write( "2(x+7) = 5x+14\r\n" );
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document.write( "Use the distributive property to remove the parentheses on the left:\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
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document.write( " Next we add -14 to both sides and draw a line:\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " --------------\r\n" );
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document.write( "Now we bring down the 2x, the +14 and -14 cancel so we don't\r\n" );
document.write( "write anything there, then we bring down the = sign, then the\r\n" );
document.write( "5x and we don't write anything at the end because that +14 and\r\n" );
document.write( "-14 also cancel:\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " --------------\r\n" );
document.write( " 2x    =  5x\r\n" );
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document.write( "Next we add -5x to both sides to get the 5x off the right side.\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " -------------\r\n" );
document.write( " 2x    =  5x\r\n" );
document.write( "-5x    = -5x\r\n" );
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document.write( "We draw a line \r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " -------------\r\n" );
document.write( " 2x    =  5x\r\n" );
document.write( "-5x    = -5x\r\n" );
document.write( "--------------  \r\n" );
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document.write( "We combine the 2x and the -5x and get -3x, we bring\r\n" );
document.write( "down the = sign, now ordinarily we wouldn't write anything under \r\n" );
document.write( "the right side since 5x and -5x cancel, but we MUST NEVER\r\n" );
document.write( "LEAVE a side of the equation EMPTY!  So we must put a 0 there:\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " --------------\r\n" );
document.write( " 2x    =  5x\r\n" );
document.write( "-5x    = -5x\r\n" );
document.write( "---------------\r\n" );
document.write( "-3x    =  0\r\n" );
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document.write( "Next we want to get rid of the -3.\r\n" );
document.write( "That is a multiplied -3, so we will need to divide both\r\n" );
document.write( "sides by -3.  To do that we put a fraction bar under each side\r\n" );
document.write( "and put a -3 as a denominator, like this\r\n" );
document.write( "\r\n" );
document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " -------------\r\n" );
document.write( " 2x    =  5x\r\n" );
document.write( "-5x    = -5x\r\n" );
document.write( "--------------\r\n" );
document.write( "-3x    =  0\r\n" );
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document.write( "-3x      0 \r\n" );
document.write( "———— = ————— \r\n" );
document.write( "-3      -3\r\n" );
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document.write( "Then the -3's cancel on the left. On the right\r\n" );
document.write( "we are simply dividing 0 by -3 and that just\r\n" );
document.write( "gives us 0.  So the whole thing worked out is:\r\n" );
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document.write( "2(x+7) =  5x+14\r\n" );
document.write( " 2x+14 =  5x+14\r\n" );
document.write( "   -14      -14\r\n" );
document.write( " -------------\r\n" );
document.write( " 2x    =  5x\r\n" );
document.write( "-5x    = -5x\r\n" );
document.write( "--------------\r\n" );
document.write( "-3x    =  0\r\n" );
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document.write( "-3x      0 \r\n" );
document.write( "———— = ————— \r\n" );
document.write( "-3      -3\r\n" );
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document.write( "   x = 0  \r\n" );
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document.write( "Edwin

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