5m-3=2m+9

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Solution for 5m-3=2m+9 equation:


Simplifying
5m + -3 = 2m + 9

Reorder the terms:
-3 + 5m = 2m + 9

Reorder the terms:
-3 + 5m = 9 + 2m

Solving
-3 + 5m = 9 + 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.
-3 + 5m + -2m = 9 + 2m + -2m

Combine like terms: 5m + -2m = 3m
-3 + 3m = 9 + 2m + -2m

Combine like terms: 2m + -2m = 0
-3 + 3m = 9 + 0
-3 + 3m = 9

Add '3' to each side of the equation.
-3 + 3 + 3m = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 3m = 9 + 3
3m = 9 + 3

Combine like terms: 9 + 3 = 12
3m = 12

Divide each side by '3'.
m = 4

Simplifying
m = 4

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