2(w+13)=3(5-w)

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Solution for 2(w+13)=3(5-w) equation: 


Simplifying
2(w + 13) = 3(5 + -1w)

Reorder the terms:
2(13 + w) = 3(5 + -1w)
(13 * 2 + w * 2) = 3(5 + -1w)
(26 + 2w) = 3(5 + -1w)
26 + 2w = (5 * 3 + -1w * 3)
26 + 2w = (15 + -3w)

Solving
26 + 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.
26 + 2w + 3w = 15 + -3w + 3w

Combine like terms: 2w + 3w = 5w
26 + 5w = 15 + -3w + 3w

Combine like terms: -3w + 3w = 0
26 + 5w = 15 + 0
26 + 5w = 15

Add '-26' to each side of the equation.
26 + -26 + 5w = 15 + -26

Combine like terms: 26 + -26 = 0
0 + 5w = 15 + -26
5w = 15 + -26

Combine like terms: 15 + -26 = -11
5w = -11

Divide each side by '5'.
w = -2.2

Simplifying
w = -2.2

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