5+13m-3=7m+10-2m

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Solution for 5+13m-3=7m+10-2m equation: 


Simplifying
5 + 13m + -3 = 7m + 10 + -2m

Reorder the terms:
5 + -3 + 13m = 7m + 10 + -2m

Combine like terms: 5 + -3 = 2
2 + 13m = 7m + 10 + -2m

Reorder the terms:
2 + 13m = 10 + 7m + -2m

Combine like terms: 7m + -2m = 5m
2 + 13m = 10 + 5m

Solving
2 + 13m = 10 + 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.
2 + 13m + -5m = 10 + 5m + -5m

Combine like terms: 13m + -5m = 8m
2 + 8m = 10 + 5m + -5m

Combine like terms: 5m + -5m = 0
2 + 8m = 10 + 0
2 + 8m = 10

Add '-2' to each side of the equation.
2 + -2 + 8m = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 8m = 10 + -2
8m = 10 + -2

Combine like terms: 10 + -2 = 8
8m = 8

Divide each side by '8'.
m = 1

Simplifying
m = 1

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