5(w+1)-(2+8w)=-4w

Solution for 5(w+1)-(2+8w)=-4w equation:

Simplifying
5(w + 1) + -1(2 + 8w) = -4w

Reorder the terms:
5(1 + w) + -1(2 + 8w) = -4w
(1 * 5 + w * 5) + -1(2 + 8w) = -4w
(5 + 5w) + -1(2 + 8w) = -4w
5 + 5w + (2 * -1 + 8w * -1) = -4w
5 + 5w + (-2 + -8w) = -4w

Reorder the terms:
5 + -2 + 5w + -8w = -4w

Combine like terms: 5 + -2 = 3
3 + 5w + -8w = -4w

Combine like terms: 5w + -8w = -3w
3 + -3w = -4w

Solving
3 + -3w = -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
3 + -3w + 4w = -4w + 4w

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

Combine like terms: -4w + 4w = 0
3 + 1w = 0

Add '-3' to each side of the equation.
3 + -3 + 1w = 0 + -3

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

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

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

Simplifying
w = -3