-3(x-2)=x-6

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

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

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

Reorder the terms:
6 + -3x = -6 + x

Solving
6 + -3x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -3x + -1x = -6 + x + -1x

Combine like terms: -3x + -1x = -4x
6 + -4x = -6 + x + -1x

Combine like terms: x + -1x = 0
6 + -4x = -6 + 0
6 + -4x = -6

Add '-6' to each side of the equation.
6 + -6 + -4x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -6 + -6
-4x = -6 + -6

Combine like terms: -6 + -6 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3