2(w-2)=5w+17

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Solution for 2(w-2)=5w+17 equation: 


Simplifying
2(w + -2) = 5w + 17

Reorder the terms:
2(-2 + w) = 5w + 17
(-2 * 2 + w * 2) = 5w + 17
(-4 + 2w) = 5w + 17

Reorder the terms:
-4 + 2w = 17 + 5w

Solving
-4 + 2w = 17 + 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.
-4 + 2w + -5w = 17 + 5w + -5w

Combine like terms: 2w + -5w = -3w
-4 + -3w = 17 + 5w + -5w

Combine like terms: 5w + -5w = 0
-4 + -3w = 17 + 0
-4 + -3w = 17

Add '4' to each side of the equation.
-4 + 4 + -3w = 17 + 4

Combine like terms: -4 + 4 = 0
0 + -3w = 17 + 4
-3w = 17 + 4

Combine like terms: 17 + 4 = 21
-3w = 21

Divide each side by '-3'.
w = -7

Simplifying
w = -7

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