Question

Solve For X.
12x > 9(2x – 3) -15
Show steps to solving please?

Answer 1

Answer: x<7

Explanation:

First distrubite factors. ( 9(2x-3) = 18x-27)

1) 12x>18x-27-15

Combine like terms. (-27-15)

2) 12x>18x-42

Subtract 18x from both sides.

3) -6x>-42

Isolate the variable. (divide -6 on each side)

4) x>7

Flip the sign since your dividing.

5) x<7

Final answer: X<7

Answer 2

Answer: x<7

Explanation:

Given

12x>9(2x-3)-15

Distributive property

12x>18x-27-15

Combine like terms

12x>18x-42

Subtract 18x on both sides

12x-18x>18x-42-18x

-6x>-42

Divide -6 on both sides (REMEMBER you need to change the [<,>] sign when multiplying or dividing negative numbers)

-6x / -6 < -42 / -6

x<7

EXTRA (Graph the solution)