document.write( "Question 273013: Solve. 2-3(x+5)=5(3-x)+8 \n" ); document.write( "
Algebra.Com's Answer #199515 by persian52(161)\"\" \"About 
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2-3(x+5)=5(3-x)+8\r
\n" ); document.write( "\n" ); document.write( "Since 2 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2 from both sides.
\n" ); document.write( "-3(x+5)=-2+5(3-x)+8\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation.
\n" ); document.write( "-3(x+5)=-5x+21\r
\n" ); document.write( "\n" ); document.write( "Multiply -3 by each term inside the parentheses.
\n" ); document.write( "(-3x-15)=-5x+21\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -3x-15.
\n" ); document.write( "-3x-15=-5x+21\r
\n" ); document.write( "\n" ); document.write( "Since -5x contains the variable to solve for, move it to the left-hand side of the equation by adding 5x to both sides.
\n" ); document.write( "-3x-15+5x=21\r
\n" ); document.write( "\n" ); document.write( "Since -3x and 5x are like terms, subtract 5x from -3x to get 2x.
\n" ); document.write( "2x-15=21\r
\n" ); document.write( "\n" ); document.write( "Since -15 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 15 to both sides.
\n" ); document.write( "2x=15+21\r
\n" ); document.write( "\n" ); document.write( "Add 21 to 15 to get 36.
\n" ); document.write( "2x=36\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 2.
\n" ); document.write( "(2x)/(2)=(36)/(2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "x=(36)/(2)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "Answer: x=18
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