3m+5=5m-7

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


Simplifying
3m + 5 = 5m + -7

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

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

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

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

Combine like terms: 5m + -5m = 0
5 + -2m = -7 + 0
5 + -2m = -7

Add '-5' to each side of the equation.
5 + -5 + -2m = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -2m = -7 + -5
-2m = -7 + -5

Combine like terms: -7 + -5 = -12
-2m = -12

Divide each side by '-2'.
m = 6

Simplifying
m = 6

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