Question 100231
-2(x+6)>x+4

Multiply -2 by each term inside the parenthesis (x+6).
(-2(x)-2(6))>x+4

Complete the multiplication of -2 by each term inside the parenthesis.
(-2x-12)>x+4

Remove the parenthesis 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)