document.write( "Question 273013: Solve. 2-3(x+5)=5(3-x)+8 \n" ); document.write( "
Algebra.Com's Answer #199515 by persian52(161)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |