-8(3x-9)=-3(2x+6)

Solution for -8(3x-9)=-3(2x+6) equation:

Simplifying
-8(3x + -9) = -3(2x + 6)

Reorder the terms:
-8(-9 + 3x) = -3(2x + 6)
(-9 * -8 + 3x * -8) = -3(2x + 6)
(72 + -24x) = -3(2x + 6)

Reorder the terms:
72 + -24x = -3(6 + 2x)
72 + -24x = (6 * -3 + 2x * -3)
72 + -24x = (-18 + -6x)

Solving
72 + -24x = -18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
72 + -24x + 6x = -18 + -6x + 6x

Combine like terms: -24x + 6x = -18x
72 + -18x = -18 + -6x + 6x

Combine like terms: -6x + 6x = 0
72 + -18x = -18 + 0
72 + -18x = -18

Add '-72' to each side of the equation.
72 + -72 + -18x = -18 + -72

Combine like terms: 72 + -72 = 0
0 + -18x = -18 + -72
-18x = -18 + -72

Combine like terms: -18 + -72 = -90
-18x = -90

Divide each side by '-18'.
x = 5

Simplifying
x = 5