Question 268939: –2(x + 6) > x + 4
Answer by persian52(161)   (Show Source):
You can put this solution on YOUR website! -2(x+6)>x+4
Multiply -2 by each term inside the parentheses.
(-2x-12)>x+4
Remove the parentheses around the expression -2x-12.
-2x-12>x+4
Since x contains the variable to solve for, move it to the left-hand side of the inequality by subtracting x from both sides.
-2x-12-x>4
Since -2x and -x are like terms, subtract x from -2x to get -3x.
-3x-12>4
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.
-3x>12+4
Add 4 to 12 to get 16.
-3x>16
Divide each term in the inequality by -3.
-(3x)/(-3)<(16)/(-3)
Simplify the left-hand side of the inequality by canceling the common terms.
x<(16)/(-3)
Simplify the right-hand side of the inequality by simplifying each term.
x<-(16)/(3)
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