17-3(w+5)=(w+5)-2w

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Solution for 17-3(w+5)=(w+5)-2w equation: 


Simplifying
17 + -3(w + 5) = (w + 5) + -2w

Reorder the terms:
17 + -3(5 + w) = (w + 5) + -2w
17 + (5 * -3 + w * -3) = (w + 5) + -2w
17 + (-15 + -3w) = (w + 5) + -2w

Combine like terms: 17 + -15 = 2
2 + -3w = (w + 5) + -2w

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

Remove parenthesis around (5 + w)
2 + -3w = 5 + w + -2w

Combine like terms: w + -2w = -1w
2 + -3w = 5 + -1w

Solving
2 + -3w = 5 + -1w

Solving for variable 'w'.

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

Add 'w' to each side of the equation.
2 + -3w + w = 5 + -1w + w

Combine like terms: -3w + w = -2w
2 + -2w = 5 + -1w + w

Combine like terms: -1w + w = 0
2 + -2w = 5 + 0
2 + -2w = 5

Add '-2' to each side of the equation.
2 + -2 + -2w = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -2w = 5 + -2
-2w = 5 + -2

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

Divide each side by '-2'.
w = -1.5

Simplifying
w = -1.5

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