6+3(2w-2)=-2(6w-5)+6w

Solution for 6+3(2w-2)=-2(6w-5)+6w equation:

Simplifying
6 + 3(2w + -2) = -2(6w + -5) + 6w

Reorder the terms:
6 + 3(-2 + 2w) = -2(6w + -5) + 6w
6 + (-2 * 3 + 2w * 3) = -2(6w + -5) + 6w
6 + (-6 + 6w) = -2(6w + -5) + 6w

Combine like terms: 6 + -6 = 0
0 + 6w = -2(6w + -5) + 6w
6w = -2(6w + -5) + 6w

Reorder the terms:
6w = -2(-5 + 6w) + 6w
6w = (-5 * -2 + 6w * -2) + 6w
6w = (10 + -12w) + 6w

Combine like terms: -12w + 6w = -6w
6w = 10 + -6w

Solving
6w = 10 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
6w + 6w = 10 + -6w + 6w

Combine like terms: 6w + 6w = 12w
12w = 10 + -6w + 6w

Combine like terms: -6w + 6w = 0
12w = 10 + 0
12w = 10

Divide each side by '12'.
w = 0.8333333333

Simplifying
w = 0.8333333333