6(1-x)-2(x-2)=10

Solution for 6(1-x)-2(x-2)=10 equation:

Simplifying
6(1 + -1x) + -2(x + -2) = 10
(1 * 6 + -1x * 6) + -2(x + -2) = 10
(6 + -6x) + -2(x + -2) = 10

Reorder the terms:
6 + -6x + -2(-2 + x) = 10
6 + -6x + (-2 * -2 + x * -2) = 10
6 + -6x + (4 + -2x) = 10

Reorder the terms:
6 + 4 + -6x + -2x = 10

Combine like terms: 6 + 4 = 10
10 + -6x + -2x = 10

Combine like terms: -6x + -2x = -8x
10 + -8x = 10

Add '-10' to each side of the equation.
10 + -10 + -8x = 10 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 10 + -10
-8x = 10 + -10

Combine like terms: 10 + -10 = 0
-8x = 0

Solving
-8x = 0

Solving for variable 'x'.

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

Divide each side by '-8'.
x = 0

Simplifying
x = 0