3m-8=5m+10

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


Simplifying
3m + -8 = 5m + 10

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

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

Solving
-8 + 3m = 10 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-8 + 3m + -5m = 10 + 5m + -5m

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

Combine like terms: 5m + -5m = 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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