5m+8=3m-10

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Solution for 5m+8=3m-10 equation:


Simplifying
5m + 8 = 3m + -10

Reorder the terms:
8 + 5m = 3m + -10

Reorder the terms:
8 + 5m = -10 + 3m

Solving
8 + 5m = -10 + 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 = -10 + 3m + -3m

Combine like terms: 5m + -3m = 2m
8 + 2m = -10 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + 2m = -10 + 0
8 + 2m = -10

Add '-8' to each side of the equation.
8 + -8 + 2m = -10 + -8

Combine like terms: 8 + -8 = 0
0 + 2m = -10 + -8
2m = -10 + -8

Combine like terms: -10 + -8 = -18
2m = -18

Divide each side by '2'.
m = -9

Simplifying
m = -9

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