2(w+4)=3(w-5)

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Solution for 2(w+4)=3(w-5) equation: 


Simplifying
2(w + 4) = 3(w + -5)

Reorder the terms:
2(4 + w) = 3(w + -5)
(4 * 2 + w * 2) = 3(w + -5)
(8 + 2w) = 3(w + -5)

Reorder the terms:
8 + 2w = 3(-5 + w)
8 + 2w = (-5 * 3 + w * 3)
8 + 2w = (-15 + 3w)

Solving
8 + 2w = -15 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
8 + 2w + -3w = -15 + 3w + -3w

Combine like terms: 2w + -3w = -1w
8 + -1w = -15 + 3w + -3w

Combine like terms: 3w + -3w = 0
8 + -1w = -15 + 0
8 + -1w = -15

Add '-8' to each side of the equation.
8 + -8 + -1w = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -1w = -15 + -8
-1w = -15 + -8

Combine like terms: -15 + -8 = -23
-1w = -23

Divide each side by '-1'.
w = 23

Simplifying
w = 23

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