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

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

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

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

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

Combine like terms: -4 + 3 = -1
-1 + 2w = 3(w + 1) + -2

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

Reorder the terms:
-1 + 2w = 3 + -2 + 3w

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

Solving
-1 + 2w = 1 + 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.
-1 + 2w + -3w = 1 + 3w + -3w

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

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

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

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

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

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

Simplifying
w = -2