-2(x+4)+6w=4(w-6)

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Solution for -2(x+4)+6w=4(w-6) equation:


Simplifying
-2(x + 4) + 6w = 4(w + -6)

Reorder the terms:
-2(4 + x) + 6w = 4(w + -6)
(4 * -2 + x * -2) + 6w = 4(w + -6)
(-8 + -2x) + 6w = 4(w + -6)

Reorder the terms:
-8 + 6w + -2x = 4(w + -6)

Reorder the terms:
-8 + 6w + -2x = 4(-6 + w)
-8 + 6w + -2x = (-6 * 4 + w * 4)
-8 + 6w + -2x = (-24 + 4w)

Solving
-8 + 6w + -2x = -24 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-8 + 6w + -4w + -2x = -24 + 4w + -4w

Combine like terms: 6w + -4w = 2w
-8 + 2w + -2x = -24 + 4w + -4w

Combine like terms: 4w + -4w = 0
-8 + 2w + -2x = -24 + 0
-8 + 2w + -2x = -24

Add '8' to each side of the equation.
-8 + 2w + 8 + -2x = -24 + 8

Reorder the terms:
-8 + 8 + 2w + -2x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + 2w + -2x = -24 + 8
2w + -2x = -24 + 8

Combine like terms: -24 + 8 = -16
2w + -2x = -16

Add '2x' to each side of the equation.
2w + -2x + 2x = -16 + 2x

Combine like terms: -2x + 2x = 0
2w + 0 = -16 + 2x
2w = -16 + 2x

Divide each side by '2'.
w = -8 + x

Simplifying
w = -8 + x

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