3(w+1)+7w=4(w+1)-5

Solution for 3(w+1)+7w=4(w+1)-5 equation:

Simplifying
3(w + 1) + 7w = 4(w + 1) + -5

Reorder the terms:
3(1 + w) + 7w = 4(w + 1) + -5
(1 * 3 + w * 3) + 7w = 4(w + 1) + -5
(3 + 3w) + 7w = 4(w + 1) + -5

Combine like terms: 3w + 7w = 10w
3 + 10w = 4(w + 1) + -5

Reorder the terms:
3 + 10w = 4(1 + w) + -5
3 + 10w = (1 * 4 + w * 4) + -5
3 + 10w = (4 + 4w) + -5

Reorder the terms:
3 + 10w = 4 + -5 + 4w

Combine like terms: 4 + -5 = -1
3 + 10w = -1 + 4w

Solving
3 + 10w = -1 + 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 + 10w + -4w = -1 + 4w + -4w

Combine like terms: 10w + -4w = 6w
3 + 6w = -1 + 4w + -4w

Combine like terms: 4w + -4w = 0
3 + 6w = -1 + 0
3 + 6w = -1

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

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

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

Divide each side by '6'.
w = -0.6666666667

Simplifying
w = -0.6666666667