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You can put this solution on YOUR website!
start with 7x + 8 - 2x = -5x - 14 + x\r
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\n" ); document.write( "\n" ); document.write( "combine like terms to get 5x + 8 = -4x - 14\r
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\n" ); document.write( "\n" ); document.write( "add 4x to both sides of the equation and subtract 8 from both sides of the equation to get 5x + 4x = -14 - 8\r
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\n" ); document.write( "\n" ); document.write( "combine like terms to get 9x = -22\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 9 to get x = -22/9.\r
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\n" ); document.write( "\n" ); document.write( "if this is correct, you should be able to replace x in your original equation by -22/9 and the equation should be true.\r
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\n" ); document.write( "\n" ); document.write( "your original equation is 7x + 8 - 2x = -5x - 14 + x\r
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\n" ); document.write( "\n" ); document.write( "when you replace x with -22/9, this equation becomes -4.2222... = -4.2222...\r
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\n" ); document.write( "\n" ); document.write( "since the values are the same, the equation is true and your solution is good.\r
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\n" ); document.write( "\n" ); document.write( "i'm looking at what you did to see where you went wrong.\r
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\n" ); document.write( "\n" ); document.write( "you did the following:\r
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\n" ); document.write( "\n" ); document.write( "7x+8-2x= -5x-14+x
\n" ); document.write( "this part's ok.\r
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\n" ); document.write( "\n" ); document.write( "7x-2x+8= -5x-14+x
\n" ); document.write( "this part's still ok.\r
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\n" ); document.write( "\n" ); document.write( "5x-6= -5x+x
\n" ); document.write( "you went wrong here.
\n" ); document.write( "looks like you subtracted 14 from 8 to get -6.
\n" ); document.write( "you should have added 14 to both sides to get 22.
\n" ); document.write( "added 14 to both sides to get 8 + 14 = 22
\n" ); document.write( "that would have left you with:
\n" ); document.write( "5x + 22 = -5x + x\r
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\n" ); document.write( "\n" ); document.write( "5x - 4x = 6
\n" ); document.write( "you perpetuated your mistake.
\n" ); document.write( "you should have started with 5x + 22 = -5x + x
\n" ); document.write( "when you combine like terms, you should have finished with:
\n" ); document.write( "5x + 22 = -4x
\n" ); document.write( "you would then have had to add 4x to both sides to get 9x + 22 = 0
\n" ); document.write( "you then needed to subtract 22 from both sides to get 9x = -22
\n" ); document.write( "you then needed to divide both sides by 9 to get x = -22/9\r
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\n" ); document.write( "\n" ); document.write( "your problem appears to be in how to move from one side of the equation to the other.\r
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\n" ); document.write( "\n" ); document.write( "the operation you have to perform is the opposite to the sign that you have.\r
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\n" ); document.write( "\n" ); document.write( "5x = -4x\r
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\n" ); document.write( "\n" ); document.write( "to mode 4x from the right side of the equation to the left side of the equation,k you have to add 4x to both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "you will get 5x + 4x = -4x + 4x\r
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\n" ); document.write( "\n" ); document.write( "the -4x and the + 4x on the right cancel out and you are left with 5x + 4x = 0\r
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\n" ); document.write( "\n" ); document.write( "you add 5x and 4x together and you get 9x = 0.\r
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\n" ); document.write( "\n" ); document.write( "same way with 8 = -14\r
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\n" ); document.write( "\n" ); document.write( "you have to add 14 to both sides of the equation (opposite sign to what needs to be moved).\r
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\n" ); document.write( "\n" ); document.write( "you would get 8 + 14 = -14 + 14\r
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\n" ); document.write( "\n" ); document.write( "the -14 + 14 on the right cancel out and you are left with 8 + 14 = 0 which becomes 22 = 0.\r
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\n" ); document.write( "\n" ); document.write( "it appears to me that's where you went wrong.\r
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\n" ); document.write( "\n" ); document.write( "here's a reference that might help:\r
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\n" ); document.write( "\n" ); document.write( "http://www.regentsprep.org/regents/math/algebra/ae2/lsolveq.htm\r
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\n" ); document.write( "\n" ); document.write( "you do what is called opposite operations.\r
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\n" ); document.write( "\n" ); document.write( "if a*b = 5 and you want to move a to the right, you divide both sides of the equation by a.\r
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\n" ); document.write( "\n" ); document.write( "if b/a = 5 and you want to move a to the right, you multiply both sides of the equation by a.\r
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\n" ); document.write( "\n" ); document.write( "if b + a = 5 and you want to move a to the right, you subtract a from both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "if b - a = 5, and you want move a to the right, you add a to both sides of the equation.\r
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\n" ); document.write( "\n" ); document.write( "if you've got a^2 = 25 and you want to solve for a, you take the square root of both sides of the eqution to get a = plus or minus square root 9f 25.\r
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