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

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


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

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

Combine like terms: 13 + -2 = 11
11 + -4w = 5w + -2(5 + 2)

Combine like terms: 5 + 2 = 7
11 + -4w = 5w + -2(7)

Multiply -2 * 7
11 + -4w = 5w + -14

Reorder the terms:
11 + -4w = -14 + 5w

Solving
11 + -4w = -14 + 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.
11 + -4w + -5w = -14 + 5w + -5w

Combine like terms: -4w + -5w = -9w
11 + -9w = -14 + 5w + -5w

Combine like terms: 5w + -5w = 0
11 + -9w = -14 + 0
11 + -9w = -14

Add '-11' to each side of the equation.
11 + -11 + -9w = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -9w = -14 + -11
-9w = -14 + -11

Combine like terms: -14 + -11 = -25
-9w = -25

Divide each side by '-9'.
w = 2.777777778

Simplifying
w = 2.777777778

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