2m+3=3m-2

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Solution for 2m+3=3m-2 equation:


Simplifying
2m + 3 = 3m + -2

Reorder the terms:
3 + 2m = 3m + -2

Reorder the terms:
3 + 2m = -2 + 3m

Solving
3 + 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.
3 + 2m + -3m = -2 + 3m + -3m

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

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

Add '-3' to each side of the equation.
3 + -3 + -1m = -2 + -3

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

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

Divide each side by '-1'.
m = 5

Simplifying
m = 5

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