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

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

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

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

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

Reorder the terms:
6 + 4w = 6 + -1(-3 + w)
6 + 4w = 6 + (-3 * -1 + w * -1)
6 + 4w = 6 + (3 + -1w)

Combine like terms: 6 + 3 = 9
6 + 4w = 9 + -1w

Solving
6 + 4w = 9 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
6 + 4w + w = 9 + -1w + w

Combine like terms: 4w + w = 5w
6 + 5w = 9 + -1w + w

Combine like terms: -1w + w = 0
6 + 5w = 9 + 0
6 + 5w = 9

Add '-6' to each side of the equation.
6 + -6 + 5w = 9 + -6

Combine like terms: 6 + -6 = 0
0 + 5w = 9 + -6
5w = 9 + -6

Combine like terms: 9 + -6 = 3
5w = 3

Divide each side by '5'.
w = 0.6

Simplifying
w = 0.6