2w+5=4w+13

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Solution for 2w+5=4w+13 equation: 


Simplifying
2w + 5 = 4w + 13

Reorder the terms:
5 + 2w = 4w + 13

Reorder the terms:
5 + 2w = 13 + 4w

Solving
5 + 2w = 13 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
5 + 2w + -4w = 13 + 4w + -4w

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

Combine like terms: 4w + -4w = 0
5 + -2w = 13 + 0
5 + -2w = 13

Add '-5' to each side of the equation.
5 + -5 + -2w = 13 + -5

Combine like terms: 5 + -5 = 0
0 + -2w = 13 + -5
-2w = 13 + -5

Combine like terms: 13 + -5 = 8
-2w = 8

Divide each side by '-2'.
w = -4

Simplifying
w = -4

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