5m-7=2m+13

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Solution for 5m-7=2m+13 equation:


Simplifying
5m + -7 = 2m + 13

Reorder the terms:
-7 + 5m = 2m + 13

Reorder the terms:
-7 + 5m = 13 + 2m

Solving
-7 + 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.
-7 + 5m + -2m = 13 + 2m + -2m

Combine like terms: 5m + -2m = 3m
-7 + 3m = 13 + 2m + -2m

Combine like terms: 2m + -2m = 0
-7 + 3m = 13 + 0
-7 + 3m = 13

Add '7' to each side of the equation.
-7 + 7 + 3m = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 3m = 13 + 7
3m = 13 + 7

Combine like terms: 13 + 7 = 20
3m = 20

Divide each side by '3'.
m = 6.666666667

Simplifying
m = 6.666666667

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