5m-5=2m+13

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Solution for 5m-5=2m+13 equation:


Simplifying
5m + -5 = 2m + 13

Reorder the terms:
-5 + 5m = 2m + 13

Reorder the terms:
-5 + 5m = 13 + 2m

Solving
-5 + 5m = 13 + 2m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-2m' to each side of the equation.
-5 + 5m + -2m = 13 + 2m + -2m

Combine like terms: 5m + -2m = 3m
-5 + 3m = 13 + 2m + -2m

Combine like terms: 2m + -2m = 0
-5 + 3m = 13 + 0
-5 + 3m = 13

Add '5' to each side of the equation.
-5 + 5 + 3m = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 3m = 13 + 5
3m = 13 + 5

Combine like terms: 13 + 5 = 18
3m = 18

Divide each side by '3'.
m = 6

Simplifying
m = 6

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