6(w+1)=5w-1

Solution for 6(w+1)=5w-1 equation:

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

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

Reorder the terms:
6 + 6w = -1 + 5w

Solving
6 + 6w = -1 + 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.
6 + 6w + -5w = -1 + 5w + -5w

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

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

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

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

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

Divide each side by '1'.
w = -7

Simplifying
w = -7