6=6-3(2x-6)

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

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

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

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

Solving
6 = 24 + -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.
6 + 6x = 24 + -6x + 6x

Combine like terms: -6x + 6x = 0
6 + 6x = 24 + 0
6 + 6x = 24

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

Combine like terms: 6 + -6 = 0
0 + 6x = 24 + -6
6x = 24 + -6

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

Divide each side by '6'.
x = 3

Simplifying
x = 3