To solve the inequality, you need to isolate/get the variable "x" by itself in the inequality:
6x - 36 > -2x - 14 Add 2x on both sides to get "x" on one side of the inequality
6x + 2x - 36 > -2x + 2x - 14
8x - 36 > -14 Add 36 on both sides
8x - 36 + 36 > -14 + 36
8x > 22 Divide 8 on both sides to get "x" by itself
[tex]\frac{8x}{8} >\frac{22}{8}[/tex] Simplify [tex]\frac{22}{8}[/tex]
x > [tex]\frac{11}{4}[/tex]
