7m-5=10m+13

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Solution for 7m-5=10m+13 equation:


Simplifying
7m + -5 = 10m + 13

Reorder the terms:
-5 + 7m = 10m + 13

Reorder the terms:
-5 + 7m = 13 + 10m

Solving
-5 + 7m = 13 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
-5 + 7m + -10m = 13 + 10m + -10m

Combine like terms: 7m + -10m = -3m
-5 + -3m = 13 + 10m + -10m

Combine like terms: 10m + -10m = 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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