2(w-8)=5w+8

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Solution for 2(w-8)=5w+8 equation:


Simplifying
2(w + -8) = 5w + 8

Reorder the terms:
2(-8 + w) = 5w + 8
(-8 * 2 + w * 2) = 5w + 8
(-16 + 2w) = 5w + 8

Reorder the terms:
-16 + 2w = 8 + 5w

Solving
-16 + 2w = 8 + 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.
-16 + 2w + -5w = 8 + 5w + -5w

Combine like terms: 2w + -5w = -3w
-16 + -3w = 8 + 5w + -5w

Combine like terms: 5w + -5w = 0
-16 + -3w = 8 + 0
-16 + -3w = 8

Add '16' to each side of the equation.
-16 + 16 + -3w = 8 + 16

Combine like terms: -16 + 16 = 0
0 + -3w = 8 + 16
-3w = 8 + 16

Combine like terms: 8 + 16 = 24
-3w = 24

Divide each side by '-3'.
w = -8

Simplifying
w = -8

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