5w+2=6w-13+2w

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Solution for 5w+2=6w-13+2w equation:


Simplifying
5w + 2 = 6w + -13 + 2w

Reorder the terms:
2 + 5w = 6w + -13 + 2w

Reorder the terms:
2 + 5w = -13 + 6w + 2w

Combine like terms: 6w + 2w = 8w
2 + 5w = -13 + 8w

Solving
2 + 5w = -13 + 8w

Solving for variable 'w'.

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

Add '-8w' to each side of the equation.
2 + 5w + -8w = -13 + 8w + -8w

Combine like terms: 5w + -8w = -3w
2 + -3w = -13 + 8w + -8w

Combine like terms: 8w + -8w = 0
2 + -3w = -13 + 0
2 + -3w = -13

Add '-2' to each side of the equation.
2 + -2 + -3w = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -3w = -13 + -2
-3w = -13 + -2

Combine like terms: -13 + -2 = -15
-3w = -15

Divide each side by '-3'.
w = 5

Simplifying
w = 5

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