6+2(7w-6)=-3(3w-3)+5w

Solution for 6+2(7w-6)=-3(3w-3)+5w equation:

Simplifying
6 + 2(7w + -6) = -3(3w + -3) + 5w

Reorder the terms:
6 + 2(-6 + 7w) = -3(3w + -3) + 5w
6 + (-6 * 2 + 7w * 2) = -3(3w + -3) + 5w
6 + (-12 + 14w) = -3(3w + -3) + 5w

Combine like terms: 6 + -12 = -6
-6 + 14w = -3(3w + -3) + 5w

Reorder the terms:
-6 + 14w = -3(-3 + 3w) + 5w
-6 + 14w = (-3 * -3 + 3w * -3) + 5w
-6 + 14w = (9 + -9w) + 5w

Combine like terms: -9w + 5w = -4w
-6 + 14w = 9 + -4w

Solving
-6 + 14w = 9 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
-6 + 14w + 4w = 9 + -4w + 4w

Combine like terms: 14w + 4w = 18w
-6 + 18w = 9 + -4w + 4w

Combine like terms: -4w + 4w = 0
-6 + 18w = 9 + 0
-6 + 18w = 9

Add '6' to each side of the equation.
-6 + 6 + 18w = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 18w = 9 + 6
18w = 9 + 6

Combine like terms: 9 + 6 = 15
18w = 15

Divide each side by '18'.
w = 0.8333333333

Simplifying
w = 0.8333333333