-2(2w-5)+w=3+3(3w-1)

Solution for -2(2w-5)+w=3+3(3w-1) equation:

Simplifying
-2(2w + -5) + w = 3 + 3(3w + -1)

Reorder the terms:
-2(-5 + 2w) + w = 3 + 3(3w + -1)
(-5 * -2 + 2w * -2) + w = 3 + 3(3w + -1)
(10 + -4w) + w = 3 + 3(3w + -1)

Combine like terms: -4w + w = -3w
10 + -3w = 3 + 3(3w + -1)

Reorder the terms:
10 + -3w = 3 + 3(-1 + 3w)
10 + -3w = 3 + (-1 * 3 + 3w * 3)
10 + -3w = 3 + (-3 + 9w)

Combine like terms: 3 + -3 = 0
10 + -3w = 0 + 9w
10 + -3w = 9w

Solving
10 + -3w = 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.
10 + -3w + -9w = 9w + -9w

Combine like terms: -3w + -9w = -12w
10 + -12w = 9w + -9w

Combine like terms: 9w + -9w = 0
10 + -12w = 0

Add '-10' to each side of the equation.
10 + -10 + -12w = 0 + -10

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

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

Divide each side by '-12'.
w = 0.8333333333

Simplifying
w = 0.8333333333