-3w+12w+6=7w+30

Solution for -3w+12w+6=7w+30 equation:

Simplifying
-3w + 12w + 6 = 7w + 30

Reorder the terms:
6 + -3w + 12w = 7w + 30

Combine like terms: -3w + 12w = 9w
6 + 9w = 7w + 30

Reorder the terms:
6 + 9w = 30 + 7w

Solving
6 + 9w = 30 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
6 + 9w + -7w = 30 + 7w + -7w

Combine like terms: 9w + -7w = 2w
6 + 2w = 30 + 7w + -7w

Combine like terms: 7w + -7w = 0
6 + 2w = 30 + 0
6 + 2w = 30

Add '-6' to each side of the equation.
6 + -6 + 2w = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 2w = 30 + -6
2w = 30 + -6

Combine like terms: 30 + -6 = 24
2w = 24

Divide each side by '2'.
w = 12

Simplifying
w = 12