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

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

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

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

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

Solving
2 + 2w = -3 + 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.
2 + 2w + -3w = -3 + 3w + -3w

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

Combine like terms: 3w + -3w = 0
2 + -1w = -3 + 0
2 + -1w = -3

Add '-2' to each side of the equation.
2 + -2 + -1w = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = -3 + -2
-1w = -3 + -2

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

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

Simplifying
w = 5