2m-9=5m-15

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Solution for 2m-9=5m-15 equation:


Simplifying
2m + -9 = 5m + -15

Reorder the terms:
-9 + 2m = 5m + -15

Reorder the terms:
-9 + 2m = -15 + 5m

Solving
-9 + 2m = -15 + 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 = -15 + 5m + -5m

Combine like terms: 2m + -5m = -3m
-9 + -3m = -15 + 5m + -5m

Combine like terms: 5m + -5m = 0
-9 + -3m = -15 + 0
-9 + -3m = -15

Add '9' to each side of the equation.
-9 + 9 + -3m = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -3m = -15 + 9
-3m = -15 + 9

Combine like terms: -15 + 9 = -6
-3m = -6

Divide each side by '-3'.
m = 2

Simplifying
m = 2

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