6(x-1)-2(x-3)=12

Solution for 6(x-1)-2(x-3)=12 equation:

Simplifying
6(x + -1) + -2(x + -3) = 12

Reorder the terms:
6(-1 + x) + -2(x + -3) = 12
(-1 * 6 + x * 6) + -2(x + -3) = 12
(-6 + 6x) + -2(x + -3) = 12

Reorder the terms:
-6 + 6x + -2(-3 + x) = 12
-6 + 6x + (-3 * -2 + x * -2) = 12
-6 + 6x + (6 + -2x) = 12

Reorder the terms:
-6 + 6 + 6x + -2x = 12

Combine like terms: -6 + 6 = 0
0 + 6x + -2x = 12
6x + -2x = 12

Combine like terms: 6x + -2x = 4x
4x = 12

Solving
4x = 12

Solving for variable 'x'.

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

Divide each side by '4'.
x = 3

Simplifying
x = 3