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

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

Simplifying
3w + 6 + -1w = 5w + -2(w + -3)

Reorder the terms:
6 + 3w + -1w = 5w + -2(w + -3)

Combine like terms: 3w + -1w = 2w
6 + 2w = 5w + -2(w + -3)

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

Reorder the terms:
6 + 2w = 6 + 5w + -2w

Combine like terms: 5w + -2w = 3w
6 + 2w = 6 + 3w

Add '-6' to each side of the equation.
6 + -6 + 2w = 6 + -6 + 3w

Combine like terms: 6 + -6 = 0
0 + 2w = 6 + -6 + 3w
2w = 6 + -6 + 3w

Combine like terms: 6 + -6 = 0
2w = 0 + 3w
2w = 3w

Solving
2w = 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
2w + -3w = 3w + -3w

Combine like terms: 2w + -3w = -1w
-1w = 3w + -3w

Combine like terms: 3w + -3w = 0
-1w = 0

Divide each side by '-1'.
w = 0

Simplifying
w = 0