3(w-9)=5w-17

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Solution for 3(w-9)=5w-17 equation:


Simplifying
3(w + -9) = 5w + -17

Reorder the terms:
3(-9 + w) = 5w + -17
(-9 * 3 + w * 3) = 5w + -17
(-27 + 3w) = 5w + -17

Reorder the terms:
-27 + 3w = -17 + 5w

Solving
-27 + 3w = -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.
-27 + 3w + -5w = -17 + 5w + -5w

Combine like terms: 3w + -5w = -2w
-27 + -2w = -17 + 5w + -5w

Combine like terms: 5w + -5w = 0
-27 + -2w = -17 + 0
-27 + -2w = -17

Add '27' to each side of the equation.
-27 + 27 + -2w = -17 + 27

Combine like terms: -27 + 27 = 0
0 + -2w = -17 + 27
-2w = -17 + 27

Combine like terms: -17 + 27 = 10
-2w = 10

Divide each side by '-2'.
w = -5

Simplifying
w = -5

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