5w+8=w-4

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Solution for 5w+8=w-4 equation:


Simplifying
5w + 8 = w + -4

Reorder the terms:
8 + 5w = w + -4

Reorder the terms:
8 + 5w = -4 + w

Solving
8 + 5w = -4 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
8 + 5w + -1w = -4 + w + -1w

Combine like terms: 5w + -1w = 4w
8 + 4w = -4 + w + -1w

Combine like terms: w + -1w = 0
8 + 4w = -4 + 0
8 + 4w = -4

Add '-8' to each side of the equation.
8 + -8 + 4w = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 4w = -4 + -8
4w = -4 + -8

Combine like terms: -4 + -8 = -12
4w = -12

Divide each side by '4'.
w = -3

Simplifying
w = -3

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