3(2w-2)=-2(4w-11)

Solution for 3(2w-2)=-2(4w-11) equation:

Simplifying
3(2w + -2) = -2(4w + -11)

Reorder the terms:
3(-2 + 2w) = -2(4w + -11)
(-2 * 3 + 2w * 3) = -2(4w + -11)
(-6 + 6w) = -2(4w + -11)

Reorder the terms:
-6 + 6w = -2(-11 + 4w)
-6 + 6w = (-11 * -2 + 4w * -2)
-6 + 6w = (22 + -8w)

Solving
-6 + 6w = 22 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
-6 + 6w + 8w = 22 + -8w + 8w

Combine like terms: 6w + 8w = 14w
-6 + 14w = 22 + -8w + 8w

Combine like terms: -8w + 8w = 0
-6 + 14w = 22 + 0
-6 + 14w = 22

Add '6' to each side of the equation.
-6 + 6 + 14w = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 14w = 22 + 6
14w = 22 + 6

Combine like terms: 22 + 6 = 28
14w = 28

Divide each side by '14'.
w = 2

Simplifying
w = 2