3m+2=5m-12

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Solution for 3m+2=5m-12 equation:


Simplifying
3m + 2 = 5m + -12

Reorder the terms:
2 + 3m = 5m + -12

Reorder the terms:
2 + 3m = -12 + 5m

Solving
2 + 3m = -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.
2 + 3m + -5m = -12 + 5m + -5m

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

Combine like terms: 5m + -5m = 0
2 + -2m = -12 + 0
2 + -2m = -12

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

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

Combine like terms: -12 + -2 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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