5m-12=2m+30

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Solution for 5m-12=2m+30 equation:


Simplifying
5m + -12 = 2m + 30

Reorder the terms:
-12 + 5m = 2m + 30

Reorder the terms:
-12 + 5m = 30 + 2m

Solving
-12 + 5m = 30 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-12 + 5m + -2m = 30 + 2m + -2m

Combine like terms: 5m + -2m = 3m
-12 + 3m = 30 + 2m + -2m

Combine like terms: 2m + -2m = 0
-12 + 3m = 30 + 0
-12 + 3m = 30

Add '12' to each side of the equation.
-12 + 12 + 3m = 30 + 12

Combine like terms: -12 + 12 = 0
0 + 3m = 30 + 12
3m = 30 + 12

Combine like terms: 30 + 12 = 42
3m = 42

Divide each side by '3'.
m = 14

Simplifying
m = 14

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