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 = 11
11 + -4w = 5w + -2(5 + w)
11 + -4w = 5w + (5 * -2 + w * -2)
11 + -4w = 5w + (-10 + -2w)

Reorder the terms:
11 + -4w = -10 + 5w + -2w

Combine like terms: 5w + -2w = 3w
11 + -4w = -10 + 3w

Solving
11 + -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.
11 + -4w + -3w = -10 + 3w + -3w

Combine like terms: -4w + -3w = -7w
11 + -7w = -10 + 3w + -3w

Combine like terms: 3w + -3w = 0
11 + -7w = -10 + 0
11 + -7w = -10

Add '-11' to each side of the equation.
11 + -11 + -7w = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -7w = -10 + -11
-7w = -10 + -11

Combine like terms: -10 + -11 = -21
-7w = -21

Divide each side by '-7'.
w = 3

Simplifying
w = 3

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