5m+7=3m-2

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Solution for 5m+7=3m-2 equation: 


Simplifying
5m + 7 = 3m + -2

Reorder the terms:
7 + 5m = 3m + -2

Reorder the terms:
7 + 5m = -2 + 3m

Solving
7 + 5m = -2 + 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.
7 + 5m + -3m = -2 + 3m + -3m

Combine like terms: 5m + -3m = 2m
7 + 2m = -2 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + 2m = -2 + 0
7 + 2m = -2

Add '-7' to each side of the equation.
7 + -7 + 2m = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = -2 + -7
2m = -2 + -7

Combine like terms: -2 + -7 = -9
2m = -9

Divide each side by '2'.
m = -4.5

Simplifying
m = -4.5

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