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

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


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

Reorder the terms:
-2(-5 + 3w) + 2w = 2(w + 6)
(-5 * -2 + 3w * -2) + 2w = 2(w + 6)
(10 + -6w) + 2w = 2(w + 6)

Combine like terms: -6w + 2w = -4w
10 + -4w = 2(w + 6)

Reorder the terms:
10 + -4w = 2(6 + w)
10 + -4w = (6 * 2 + w * 2)
10 + -4w = (12 + 2w)

Solving
10 + -4w = 12 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
10 + -4w + -2w = 12 + 2w + -2w

Combine like terms: -4w + -2w = -6w
10 + -6w = 12 + 2w + -2w

Combine like terms: 2w + -2w = 0
10 + -6w = 12 + 0
10 + -6w = 12

Add '-10' to each side of the equation.
10 + -10 + -6w = 12 + -10

Combine like terms: 10 + -10 = 0
0 + -6w = 12 + -10
-6w = 12 + -10

Combine like terms: 12 + -10 = 2
-6w = 2

Divide each side by '-6'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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