document.write( "Question 49235: 4x+2=10 \n" ); document.write( "
Algebra.Com's Answer #32654 by AnlytcPhil(1806)\"\" \"About 
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4x + 2 = 10\r\n" );
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document.write( "There are two terms on the left, +4x and +2, \r\n" );
document.write( "and 1 term on the right, +10.\r\n" );
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document.write( "The 4x term contains a variable and is on the left\r\n" );
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document.write( "The +2 term does not contain a variable and is \r\n" );
document.write( "on the left\r\n" );
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document.write( "The 10 term does not contain a variable and is \r\n" );
document.write( "on the right.\r\n" );
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document.write( "The idea is to \r\n" );
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document.write( "1. Get rid of any term on the left that DOES NOT contain\r\n" );
document.write( "a variable.\r\n" );
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document.write( "2. Get rid of any term on the right that DOES contain\r\n" );
document.write( "a variable.\r\n" );
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document.write( "To get rid of a term, add its oppose to both sides:\r\n" );
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document.write( "We only need to get rid of the +2 term of\r\n" );
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document.write( "4x + 2 = 10\r\n" );
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document.write( "We do that by adding -2 to both sides\r\n" );
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document.write( "4x + 2 = 10\r\n" );
document.write( "    -2   -2\r\n" );
document.write( "-----------\r\n" );
document.write( "4x + 0 =  8\r\n" );
document.write( "    4x =  8\r\n" );
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document.write( "Now we must get rid of the coefficient 4. To\r\n" );
document.write( "get rid of a coefficient, divide both sides\r\n" );
document.write( "by it:\r\n" );
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document.write( "    4x     8\r\n" );
document.write( "   ---- = ---\r\n" );
document.write( "     4     4\r\n" );
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document.write( "Cancel the 4's on the left and the 4 into the\r\n" );
document.write( "8 on the right:\r\n" );
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document.write( "    1      2\r\n" );
document.write( "    4x     8\r\n" );
document.write( "   ---- = ---\r\n" );
document.write( "     4     4\r\n" );
document.write( "     1     1\r\n" );
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document.write( "      x = 2\r\n" );
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document.write( "To check:\r\n" );
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document.write( "  4x + 2 = 10\r\n" );
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document.write( "substitute (2) for x:\r\n" );
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document.write( "4(2) + 2 = 10\r\n" );
document.write( "   8 + 2 = 10\r\n" );
document.write( "      10 = 10\r\n" );
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document.write( "That has the same number on both sides, so the\r\n" );
document.write( "answer, x = 2, is right.\r\n" );
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document.write( "Edwin
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