2m-(5-m)=13-2m

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Solution for 2m-(5-m)=13-2m equation:


Simplifying
2m + -1(5 + -1m) = 13 + -2m
2m + (5 * -1 + -1m * -1) = 13 + -2m
2m + (-5 + 1m) = 13 + -2m

Reorder the terms:
-5 + 2m + 1m = 13 + -2m

Combine like terms: 2m + 1m = 3m
-5 + 3m = 13 + -2m

Solving
-5 + 3m = 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 + 3m + 2m = 13 + -2m + 2m

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

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

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

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

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

Divide each side by '5'.
m = 3.6

Simplifying
m = 3.6

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