document.write( "Question 268939: –2(x + 6) > x + 4 \n" ); document.write( "

Algebra.Com's Answer #197071 by persian52(161) $\"\"$ $\"About$

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-2(x+6)>x+4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses.
\n" ); document.write( "(-2x-12)>x+4\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -2x-12.
\n" ); document.write( "-2x-12>x+4\r
\n" ); document.write( "\n" ); document.write( "Since x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting x from both sides.
\n" ); document.write( "-2x-12-x>4\r
\n" ); document.write( "\n" ); document.write( "Since -2x and -x are like terms, subtract x from -2x to get -3x.
\n" ); document.write( "-3x-12>4\r
\n" ); document.write( "\n" ); document.write( "Since -12 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 12 to both sides.
\n" ); document.write( "-3x>12+4\r
\n" ); document.write( "\n" ); document.write( "Add 4 to 12 to get 16.
\n" ); document.write( "-3x>16\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -3.
\n" ); document.write( "-(3x)/(-3)<(16)/(-3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the inequality by canceling the common terms.
\n" ); document.write( "x<(16)/(-3)\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the inequality by simplifying each term.
\n" ); document.write( "x<-(16)/(3) \n" ); document.write( "

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