document.write( "Question 502725: -2(x+4)>6x-4 \n" ); document.write( "
Algebra.Com's Answer #338924 by persian52(161)\"\" \"About 
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-2(x+4)>6x-4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses (x+4).
\n" ); document.write( "(-2(x)-2(4))>6x-4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by the x inside the parentheses.
\n" ); document.write( "(-2*x-2(4))>6x-4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by x to get -2x.
\n" ); document.write( "(-2x-2(4))>6x-4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by the 4 inside the parentheses.
\n" ); document.write( "(-2x-2*4)>6x-4\r
\n" ); document.write( "\n" ); document.write( "Multiply -2 by 4 to get -8.
\n" ); document.write( "(-2x-8)>6x-4\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression -2x-8.
\n" ); document.write( "-2x-8>6x-4\r
\n" ); document.write( "\n" ); document.write( "Since 6x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting 6x from both sides.
\n" ); document.write( "-2x-8-6x>-4\r
\n" ); document.write( "\n" ); document.write( "According to the distributive property, for any numbers a, b, and c, a(b+c)=ab+ac and (b+c)a=ba+ca. Here, x is a factor of both -2x and -6x.
\n" ); document.write( "(-2-6)x-8>-4\r
\n" ); document.write( "\n" ); document.write( "Subtract 6 from -2 to get -8.
\n" ); document.write( "(-8)x-8>-4\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses.
\n" ); document.write( "-8x-8>-4\r
\n" ); document.write( "\n" ); document.write( "Since -8 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 8 to both sides.
\n" ); document.write( "-8x>8-4\r
\n" ); document.write( "\n" ); document.write( "Subtract 4 from 8 to get 4.
\n" ); document.write( "-8x>4\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the inequality by -8.
\n" ); document.write( "-(8x)/(-8)<(4)/(-8)\r
\n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression.
\n" ); document.write( "-(-(8x)/(8))<(4)/(-8)\r
\n" ); document.write( "\n" ); document.write( "Cancel the common factor of 8 in -(8x)/(8).
\n" ); document.write( "-(-(8x)/(8))<(4)/(-8)\r
\n" ); document.write( "\n" ); document.write( "Remove the common factors that were cancelled out.
\n" ); document.write( "-(-x)<(4)/(-8)\r
\n" ); document.write( "\n" ); document.write( "Multiply -1 by the -x inside the parentheses.
\n" ); document.write( "x<(4)/(-8)\r
\n" ); document.write( "\n" ); document.write( "Move the minus sign from the denominator to the front of the expression.
\n" ); document.write( "x<-((4)/(8))\r
\n" ); document.write( "\n" ); document.write( "Cancel the common factor of 4 in (4)/(8).
\n" ); document.write( "x<-((4)/(28))\r
\n" ); document.write( "\n" ); document.write( "Remove the common factors that were cancelled out.
\n" ); document.write( "x<-((1)/(2))\r
\n" ); document.write( "\n" ); document.write( "Multiply -1 by the (1)/(2) inside the parentheses.
\n" ); document.write( "x<-(1)/(2)
\n" ); document.write( "
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