-2(3w-6)+w=3+3(3w-1)

Solution for -2(3w-6)+w=3+3(3w-1) equation:

Simplifying
-2(3w + -6) + w = 3 + 3(3w + -1)

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

Combine like terms: -6w + w = -5w
12 + -5w = 3 + 3(3w + -1)

Reorder the terms:
12 + -5w = 3 + 3(-1 + 3w)
12 + -5w = 3 + (-1 * 3 + 3w * 3)
12 + -5w = 3 + (-3 + 9w)

Combine like terms: 3 + -3 = 0
12 + -5w = 0 + 9w
12 + -5w = 9w

Solving
12 + -5w = 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
12 + -5w + -9w = 9w + -9w

Combine like terms: -5w + -9w = -14w
12 + -14w = 9w + -9w

Combine like terms: 9w + -9w = 0
12 + -14w = 0

Add '-12' to each side of the equation.
12 + -12 + -14w = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -14w = 0 + -12
-14w = 0 + -12

Combine like terms: 0 + -12 = -12
-14w = -12

Divide each side by '-14'.
w = 0.8571428571

Simplifying
w = 0.8571428571