2m+7=5m-5

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


Simplifying
2m + 7 = 5m + -5

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

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

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

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

Combine like terms: 5m + -5m = 0
7 + -3m = -5 + 0
7 + -3m = -5

Add '-7' to each side of the equation.
7 + -7 + -3m = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = -5 + -7
-3m = -5 + -7

Combine like terms: -5 + -7 = -12
-3m = -12

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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