3(w+6)=7w-6

Solution for 3(w+6)=7w-6 equation:

Simplifying
3(w + 6) = 7w + -6

Reorder the terms:
3(6 + w) = 7w + -6
(6 * 3 + w * 3) = 7w + -6
(18 + 3w) = 7w + -6

Reorder the terms:
18 + 3w = -6 + 7w

Solving
18 + 3w = -6 + 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.
18 + 3w + -7w = -6 + 7w + -7w

Combine like terms: 3w + -7w = -4w
18 + -4w = -6 + 7w + -7w

Combine like terms: 7w + -7w = 0
18 + -4w = -6 + 0
18 + -4w = -6

Add '-18' to each side of the equation.
18 + -18 + -4w = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -4w = -6 + -18
-4w = -6 + -18

Combine like terms: -6 + -18 = -24
-4w = -24

Divide each side by '-4'.
w = 6

Simplifying
w = 6