3(x+2)-w=2(w-1)+5

Solution for 3(x+2)-w=2(w-1)+5 equation:

Simplifying
3(x + 2) + -1w = 2(w + -1) + 5

Reorder the terms:
3(2 + x) + -1w = 2(w + -1) + 5
(2 * 3 + x * 3) + -1w = 2(w + -1) + 5
(6 + 3x) + -1w = 2(w + -1) + 5

Reorder the terms:
6 + -1w + 3x = 2(w + -1) + 5

Reorder the terms:
6 + -1w + 3x = 2(-1 + w) + 5
6 + -1w + 3x = (-1 * 2 + w * 2) + 5
6 + -1w + 3x = (-2 + 2w) + 5

Reorder the terms:
6 + -1w + 3x = -2 + 5 + 2w

Combine like terms: -2 + 5 = 3
6 + -1w + 3x = 3 + 2w

Solving
6 + -1w + 3x = 3 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
6 + -1w + -2w + 3x = 3 + 2w + -2w

Combine like terms: -1w + -2w = -3w
6 + -3w + 3x = 3 + 2w + -2w

Combine like terms: 2w + -2w = 0
6 + -3w + 3x = 3 + 0
6 + -3w + 3x = 3

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

Reorder the terms:
6 + -6 + -3w + 3x = 3 + -6

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

Combine like terms: 3 + -6 = -3
-3w + 3x = -3

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

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

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

Simplifying
w = 1 + x