document.write( "Question 269157: Solve -2(x-7)-140=5x-7(x+8). \n" ); document.write( "

Algebra.Com's Answer #197346 by persian52(161) $\"\"$ $\"About$

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-2(x-7)-140=5x-7(x+8)\r
\n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
\n" ); document.write( "5x-7(x+8)=-2(x-7)-140\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses.
\n" ); document.write( "5x-7(x+8)=(-2x+14)-140\r
\n" ); document.write( "\n" ); document.write( "Subtract 140 from 14 to get -126.
\n" ); document.write( "5x-7(x+8)=-2x-126\r
\n" ); document.write( "\n" ); document.write( "Multiply -7 by each term inside the parentheses.
\n" ); document.write( "5x+(-7x-56)=-2x-126\r
\n" ); document.write( "\n" ); document.write( "Since 5x and -7x are like terms, add -7x to 5x to get -2x.
\n" ); document.write( "-2x-56=-2x-126\r
\n" ); document.write( "\n" ); document.write( "Since -2x contains the variable to solve for, move it to the left-hand side of the equation by adding 2x to both sides.
\n" ); document.write( "-2x-56+2x=-126\r
\n" ); document.write( "\n" ); document.write( "Since -2x and 2x are like terms, subtract 2x from -2x to get 0.
\n" ); document.write( "0-56=-126\r
\n" ); document.write( "\n" ); document.write( "Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
\n" ); document.write( "-56=-126\r
\n" ); document.write( "\n" ); document.write( "Since -56≠-126, there are no solutions.
\n" ); document.write( "Answer: No Solution \n" ); document.write( "

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