2m+5=4m+2-m

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Solution for 2m+5=4m+2-m equation:


Simplifying
2m + 5 = 4m + 2 + -1m

Reorder the terms:
5 + 2m = 4m + 2 + -1m

Reorder the terms:
5 + 2m = 2 + 4m + -1m

Combine like terms: 4m + -1m = 3m
5 + 2m = 2 + 3m

Solving
5 + 2m = 2 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
5 + 2m + -3m = 2 + 3m + -3m

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

Combine like terms: 3m + -3m = 0
5 + -1m = 2 + 0
5 + -1m = 2

Add '-5' to each side of the equation.
5 + -5 + -1m = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 2 + -5
-1m = 2 + -5

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

Divide each side by '-1'.
m = 3

Simplifying
m = 3

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