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

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

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

Reorder the terms:
-3(3 + w) = 5w + -6 + 2(2w + 3)
(3 * -3 + w * -3) = 5w + -6 + 2(2w + 3)
(-9 + -3w) = 5w + -6 + 2(2w + 3)

Reorder the terms:
-9 + -3w = 5w + -6 + 2(3 + 2w)
-9 + -3w = 5w + -6 + (3 * 2 + 2w * 2)
-9 + -3w = 5w + -6 + (6 + 4w)

Reorder the terms:
-9 + -3w = -6 + 6 + 5w + 4w

Combine like terms: -6 + 6 = 0
-9 + -3w = 0 + 5w + 4w
-9 + -3w = 5w + 4w

Combine like terms: 5w + 4w = 9w
-9 + -3w = 9w

Solving
-9 + -3w = 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
-9 + -3w + -9w = 9w + -9w

Combine like terms: -3w + -9w = -12w
-9 + -12w = 9w + -9w

Combine like terms: 9w + -9w = 0
-9 + -12w = 0

Add '9' to each side of the equation.
-9 + 9 + -12w = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -12w = 0 + 9
-12w = 0 + 9

Combine like terms: 0 + 9 = 9
-12w = 9

Divide each side by '-12'.
w = -0.75

Simplifying
w = -0.75