2m+9=5m-3

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


Simplifying
2m + 9 = 5m + -3

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

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

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

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

Combine like terms: 5m + -5m = 0
9 + -3m = -3 + 0
9 + -3m = -3

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

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

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

Divide each side by '-3'.
m = 4

Simplifying
m = 4

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