5w+8=3w-6

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Solution for 5w+8=3w-6 equation:


Simplifying
5w + 8 = 3w + -6

Reorder the terms:
8 + 5w = 3w + -6

Reorder the terms:
8 + 5w = -6 + 3w

Solving
8 + 5w = -6 + 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.
8 + 5w + -3w = -6 + 3w + -3w

Combine like terms: 5w + -3w = 2w
8 + 2w = -6 + 3w + -3w

Combine like terms: 3w + -3w = 0
8 + 2w = -6 + 0
8 + 2w = -6

Add '-8' to each side of the equation.
8 + -8 + 2w = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 2w = -6 + -8
2w = -6 + -8

Combine like terms: -6 + -8 = -14
2w = -14

Divide each side by '2'.
w = -7

Simplifying
w = -7

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