4w-2w+6=3w-12

Solution for 4w-2w+6=3w-12 equation:

Simplifying
4w + -2w + 6 = 3w + -12

Reorder the terms:
6 + 4w + -2w = 3w + -12

Combine like terms: 4w + -2w = 2w
6 + 2w = 3w + -12

Reorder the terms:
6 + 2w = -12 + 3w

Solving
6 + 2w = -12 + 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.
6 + 2w + -3w = -12 + 3w + -3w

Combine like terms: 2w + -3w = -1w
6 + -1w = -12 + 3w + -3w

Combine like terms: 3w + -3w = 0
6 + -1w = -12 + 0
6 + -1w = -12

Add '-6' to each side of the equation.
6 + -6 + -1w = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -1w = -12 + -6
-1w = -12 + -6

Combine like terms: -12 + -6 = -18
-1w = -18

Divide each side by '-1'.
w = 18

Simplifying
w = 18