6-2(x-1)=2

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

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

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

Combine like terms: 6 + 2 = 8
8 + -2x = 2

Solving
8 + -2x = 2

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -2x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = 2 + -8
-2x = 2 + -8

Combine like terms: 2 + -8 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3