12x-6=-15x-(-75)

Solution for 12x-6=-15x-(-75) equation:

Simplifying
12x + -6 = -15x + -1(-75)

Reorder the terms:
-6 + 12x = -15x + -1(-75)

Multiply -1 * -75
-6 + 12x = -15x + 75

Reorder the terms:
-6 + 12x = 75 + -15x

Solving
-6 + 12x = 75 + -15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15x' to each side of the equation.
-6 + 12x + 15x = 75 + -15x + 15x

Combine like terms: 12x + 15x = 27x
-6 + 27x = 75 + -15x + 15x

Combine like terms: -15x + 15x = 0
-6 + 27x = 75 + 0
-6 + 27x = 75

Add '6' to each side of the equation.
-6 + 6 + 27x = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 27x = 75 + 6
27x = 75 + 6

Combine like terms: 75 + 6 = 81
27x = 81

Divide each side by '27'.
x = 3

Simplifying
x = 3