2(w+1)-(4w-3)=-3w

Solution for 2(w+1)-(4w-3)=-3w equation:

Simplifying
2(w + 1) + -1(4w + -3) = -3w

Reorder the terms:
2(1 + w) + -1(4w + -3) = -3w
(1 * 2 + w * 2) + -1(4w + -3) = -3w
(2 + 2w) + -1(4w + -3) = -3w

Reorder the terms:
2 + 2w + -1(-3 + 4w) = -3w
2 + 2w + (-3 * -1 + 4w * -1) = -3w
2 + 2w + (3 + -4w) = -3w

Reorder the terms:
2 + 3 + 2w + -4w = -3w

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

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

Solving
5 + -2w = -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
5 + -2w + 3w = -3w + 3w

Combine like terms: -2w + 3w = 1w
5 + 1w = -3w + 3w

Combine like terms: -3w + 3w = 0
5 + 1w = 0

Add '-5' to each side of the equation.
5 + -5 + 1w = 0 + -5

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

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

Divide each side by '1'.
w = -5

Simplifying
w = -5