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

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Solution for 13-2(2w-1)=5w-2(5+w) equation: 


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

Reorder the terms:
13 + -2(-1 + 2w) = 5w + -2(5 + w)
13 + (-1 * -2 + 2w * -2) = 5w + -2(5 + w)
13 + (2 + -4w) = 5w + -2(5 + w)

Combine like terms: 13 + 2 = 15
15 + -4w = 5w + -2(5 + w)
15 + -4w = 5w + (5 * -2 + w * -2)
15 + -4w = 5w + (-10 + -2w)

Reorder the terms:
15 + -4w = -10 + 5w + -2w

Combine like terms: 5w + -2w = 3w
15 + -4w = -10 + 3w

Solving
15 + -4w = -10 + 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.
15 + -4w + -3w = -10 + 3w + -3w

Combine like terms: -4w + -3w = -7w
15 + -7w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
15 + -7w = -10 + 0
15 + -7w = -10

Add '-15' to each side of the equation.
15 + -15 + -7w = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -7w = -10 + -15
-7w = -10 + -15

Combine like terms: -10 + -15 = -25
-7w = -25

Divide each side by '-7'.
w = 3.571428571

Simplifying
w = 3.571428571

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