4(w-3)=6+3w

Solution for 4(w-3)=6+3w equation:

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

Reorder the terms:
4(-3 + w) = 6 + 3w
(-3 * 4 + w * 4) = 6 + 3w
(-12 + 4w) = 6 + 3w

Solving
-12 + 4w = 6 + 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.
-12 + 4w + -3w = 6 + 3w + -3w

Combine like terms: 4w + -3w = 1w
-12 + 1w = 6 + 3w + -3w

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

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

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

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

Divide each side by '1'.
w = 18

Simplifying
w = 18