document.write( "Question 25434: 5(x-4)=2(x+1)-7 \n" ); document.write( "
Algebra.Com's Answer #13676 by bacos(9)![]() ![]() ![]() You can put this solution on YOUR website! Simplifying \n" ); document.write( "5(x + -4) = 2(x + 1) + -7\r \n" ); document.write( "\n" ); document.write( "Reorder the terms: \n" ); document.write( "5(-4 + x) = 2(x + 1) + -7 \n" ); document.write( "(-4 * 5 + x * 5) = 2(x + 1) + -7 \n" ); document.write( "(-20 + 5x) = 2(x + 1) + -7\r \n" ); document.write( "\n" ); document.write( "Reorder the terms: \n" ); document.write( "-20 + 5x = 2(1 + x) + -7 \n" ); document.write( "-20 + 5x = (1 * 2 + x * 2) + -7 \n" ); document.write( "-20 + 5x = (2 + 2x) + -7\r \n" ); document.write( "\n" ); document.write( "Reorder the terms: \n" ); document.write( "-20 + 5x = 2 + -7 + 2x\r \n" ); document.write( "\n" ); document.write( "Combine like terms: 2 + -7 = -5 \n" ); document.write( "-20 + 5x = -5 + 2x\r \n" ); document.write( "\n" ); document.write( "Solving \n" ); document.write( "-20 + 5x = -5 + 2x\r \n" ); document.write( "\n" ); document.write( "Solving for variable 'x'.\r \n" ); document.write( "\n" ); document.write( "Move all terms containing x to the left, all other terms to the right.\r \n" ); document.write( "\n" ); document.write( "Add '-2x' to each side of the equation. \n" ); document.write( "-20 + 5x + -2x = -5 + 2x + -2x\r \n" ); document.write( "\n" ); document.write( "Combine like terms: 5x + -2x = 3x \n" ); document.write( "-20 + 3x = -5 + 2x + -2x\r \n" ); document.write( "\n" ); document.write( "Combine like terms: 2x + -2x = 0 \n" ); document.write( "-20 + 3x = -5 + 0 \n" ); document.write( "-20 + 3x = -5\r \n" ); document.write( "\n" ); document.write( "Add '20' to each side of the equation. \n" ); document.write( "-20 + 20 + 3x = -5 + 20\r \n" ); document.write( "\n" ); document.write( "Combine like terms: -20 + 20 = 0 \n" ); document.write( "0 + 3x = -5 + 20 \n" ); document.write( "3x = -5 + 20\r \n" ); document.write( "\n" ); document.write( "Combine like terms: -5 + 20 = 15 \n" ); document.write( "3x = 15\r \n" ); document.write( "\n" ); document.write( "Divide each side by '3'. \n" ); document.write( "x = 5\r \n" ); document.write( "\n" ); document.write( "Simplifying \n" ); document.write( "x = 5 \n" ); document.write( " \n" ); document.write( " |