2m-6=5m+12

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Solution for 2m-6=5m+12 equation:


Simplifying
2m + -6 = 5m + 12

Reorder the terms:
-6 + 2m = 5m + 12

Reorder the terms:
-6 + 2m = 12 + 5m

Solving
-6 + 2m = 12 + 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.
-6 + 2m + -5m = 12 + 5m + -5m

Combine like terms: 2m + -5m = -3m
-6 + -3m = 12 + 5m + -5m

Combine like terms: 5m + -5m = 0
-6 + -3m = 12 + 0
-6 + -3m = 12

Add '6' to each side of the equation.
-6 + 6 + -3m = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -3m = 12 + 6
-3m = 12 + 6

Combine like terms: 12 + 6 = 18
-3m = 18

Divide each side by '-3'.
m = -6

Simplifying
m = -6

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