6(w+1)-(4-5w)=10w

Solution for 6(w+1)-(4-5w)=10w equation:

Simplifying
6(w + 1) + -1(4 + -5w) = 10w

Reorder the terms:
6(1 + w) + -1(4 + -5w) = 10w
(1 * 6 + w * 6) + -1(4 + -5w) = 10w
(6 + 6w) + -1(4 + -5w) = 10w
6 + 6w + (4 * -1 + -5w * -1) = 10w
6 + 6w + (-4 + 5w) = 10w

Reorder the terms:
6 + -4 + 6w + 5w = 10w

Combine like terms: 6 + -4 = 2
2 + 6w + 5w = 10w

Combine like terms: 6w + 5w = 11w
2 + 11w = 10w

Solving
2 + 11w = 10w

Solving for variable 'w'.

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

Add '-10w' to each side of the equation.
2 + 11w + -10w = 10w + -10w

Combine like terms: 11w + -10w = 1w
2 + 1w = 10w + -10w

Combine like terms: 10w + -10w = 0
2 + 1w = 0

Add '-2' to each side of the equation.
2 + -2 + 1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1w = 0 + -2
1w = 0 + -2

Combine like terms: 0 + -2 = -2
1w = -2

Divide each side by '1'.
w = -2

Simplifying
w = -2