5w+6-w=7w-2(w-3)

Solution for 5w+6-w=7w-2(w-3) equation:

Simplifying
5w + 6 + -1w = 7w + -2(w + -3)

Reorder the terms:
6 + 5w + -1w = 7w + -2(w + -3)

Combine like terms: 5w + -1w = 4w
6 + 4w = 7w + -2(w + -3)

Reorder the terms:
6 + 4w = 7w + -2(-3 + w)
6 + 4w = 7w + (-3 * -2 + w * -2)
6 + 4w = 7w + (6 + -2w)

Reorder the terms:
6 + 4w = 6 + 7w + -2w

Combine like terms: 7w + -2w = 5w
6 + 4w = 6 + 5w

Add '-6' to each side of the equation.
6 + -6 + 4w = 6 + -6 + 5w

Combine like terms: 6 + -6 = 0
0 + 4w = 6 + -6 + 5w
4w = 6 + -6 + 5w

Combine like terms: 6 + -6 = 0
4w = 0 + 5w
4w = 5w

Solving
4w = 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
4w + -5w = 5w + -5w

Combine like terms: 4w + -5w = -1w
-1w = 5w + -5w

Combine like terms: 5w + -5w = 0
-1w = 0

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

Simplifying
w = 0