5m+8=3m-22

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Solution for 5m+8=3m-22 equation:


Simplifying
5m + 8 = 3m + -22

Reorder the terms:
8 + 5m = 3m + -22

Reorder the terms:
8 + 5m = -22 + 3m

Solving
8 + 5m = -22 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
8 + 5m + -3m = -22 + 3m + -3m

Combine like terms: 5m + -3m = 2m
8 + 2m = -22 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + 2m = -22 + 0
8 + 2m = -22

Add '-8' to each side of the equation.
8 + -8 + 2m = -22 + -8

Combine like terms: 8 + -8 = 0
0 + 2m = -22 + -8
2m = -22 + -8

Combine like terms: -22 + -8 = -30
2m = -30

Divide each side by '2'.
m = -15

Simplifying
m = -15

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