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

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


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

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

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

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

Combine like terms: w + 6w = 7w
-5 + 7w = -5(w + 4)

Reorder the terms:
-5 + 7w = -5(4 + w)
-5 + 7w = (4 * -5 + w * -5)
-5 + 7w = (-20 + -5w)

Solving
-5 + 7w = -20 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-5 + 7w + 5w = -20 + -5w + 5w

Combine like terms: 7w + 5w = 12w
-5 + 12w = -20 + -5w + 5w

Combine like terms: -5w + 5w = 0
-5 + 12w = -20 + 0
-5 + 12w = -20

Add '5' to each side of the equation.
-5 + 5 + 12w = -20 + 5

Combine like terms: -5 + 5 = 0
0 + 12w = -20 + 5
12w = -20 + 5

Combine like terms: -20 + 5 = -15
12w = -15

Divide each side by '12'.
w = -1.25

Simplifying
w = -1.25

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