2w-9+2(5w+4)=-3(w+2)

Solution for 2w-9+2(5w+4)=-3(w+2) equation:

Simplifying
2w + -9 + 2(5w + 4) = -3(w + 2)

Reorder the terms:
2w + -9 + 2(4 + 5w) = -3(w + 2)
2w + -9 + (4 * 2 + 5w * 2) = -3(w + 2)
2w + -9 + (8 + 10w) = -3(w + 2)

Reorder the terms:
-9 + 8 + 2w + 10w = -3(w + 2)

Combine like terms: -9 + 8 = -1
-1 + 2w + 10w = -3(w + 2)

Combine like terms: 2w + 10w = 12w
-1 + 12w = -3(w + 2)

Reorder the terms:
-1 + 12w = -3(2 + w)
-1 + 12w = (2 * -3 + w * -3)
-1 + 12w = (-6 + -3w)

Solving
-1 + 12w = -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.
-1 + 12w + 3w = -6 + -3w + 3w

Combine like terms: 12w + 3w = 15w
-1 + 15w = -6 + -3w + 3w

Combine like terms: -3w + 3w = 0
-1 + 15w = -6 + 0
-1 + 15w = -6

Add '1' to each side of the equation.
-1 + 1 + 15w = -6 + 1

Combine like terms: -1 + 1 = 0
0 + 15w = -6 + 1
15w = -6 + 1

Combine like terms: -6 + 1 = -5
15w = -5

Divide each side by '15'.
w = -0.3333333333

Simplifying
w = -0.3333333333