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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