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

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


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

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

Combine like terms: -10w + 5w = -5w
10 + -5w = 3(w + 4)

Reorder the terms:
10 + -5w = 3(4 + w)
10 + -5w = (4 * 3 + w * 3)
10 + -5w = (12 + 3w)

Solving
10 + -5w = 12 + 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.
10 + -5w + -3w = 12 + 3w + -3w

Combine like terms: -5w + -3w = -8w
10 + -8w = 12 + 3w + -3w

Combine like terms: 3w + -3w = 0
10 + -8w = 12 + 0
10 + -8w = 12

Add '-10' to each side of the equation.
10 + -10 + -8w = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -8w = 12 + -10
-8w = 12 + -10

Combine like terms: 12 + -10 = 2
-8w = 2

Divide each side by '-8'.
w = -0.25

Simplifying
w = -0.25

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