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

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


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

Reorder the terms:
-3(-5 + 4w) + 2w = 5(w + 4)
(-5 * -3 + 4w * -3) + 2w = 5(w + 4)
(15 + -12w) + 2w = 5(w + 4)

Combine like terms: -12w + 2w = -10w
15 + -10w = 5(w + 4)

Reorder the terms:
15 + -10w = 5(4 + w)
15 + -10w = (4 * 5 + w * 5)
15 + -10w = (20 + 5w)

Solving
15 + -10w = 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.
15 + -10w + -5w = 20 + 5w + -5w

Combine like terms: -10w + -5w = -15w
15 + -15w = 20 + 5w + -5w

Combine like terms: 5w + -5w = 0
15 + -15w = 20 + 0
15 + -15w = 20

Add '-15' to each side of the equation.
15 + -15 + -15w = 20 + -15

Combine like terms: 15 + -15 = 0
0 + -15w = 20 + -15
-15w = 20 + -15

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

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

Simplifying
w = -0.3333333333

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