7w+6-w=8w-(w-3)

Solution for 7w+6-w=8w-(w-3) equation:

Simplifying
7w + 6 + -1w = 8w + -1(w + -3)

Reorder the terms:
6 + 7w + -1w = 8w + -1(w + -3)

Combine like terms: 7w + -1w = 6w
6 + 6w = 8w + -1(w + -3)

Reorder the terms:
6 + 6w = 8w + -1(-3 + w)
6 + 6w = 8w + (-3 * -1 + w * -1)
6 + 6w = 8w + (3 + -1w)

Reorder the terms:
6 + 6w = 3 + 8w + -1w

Combine like terms: 8w + -1w = 7w
6 + 6w = 3 + 7w

Solving
6 + 6w = 3 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 6w + -7w = 3 + 7w + -7w

Combine like terms: 6w + -7w = -1w
6 + -1w = 3 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + -1w = 3 + 0
6 + -1w = 3

Add '-6' to each side of the equation.
6 + -6 + -1w = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = 3 + -6
-1w = 3 + -6

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

Divide each side by '-1'.
w = 3

Simplifying
w = 3