2m-5=7m+15

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Solution for 2m-5=7m+15 equation:


Simplifying
2m + -5 = 7m + 15

Reorder the terms:
-5 + 2m = 7m + 15

Reorder the terms:
-5 + 2m = 15 + 7m

Solving
-5 + 2m = 15 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
-5 + 2m + -7m = 15 + 7m + -7m

Combine like terms: 2m + -7m = -5m
-5 + -5m = 15 + 7m + -7m

Combine like terms: 7m + -7m = 0
-5 + -5m = 15 + 0
-5 + -5m = 15

Add '5' to each side of the equation.
-5 + 5 + -5m = 15 + 5

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

Combine like terms: 15 + 5 = 20
-5m = 20

Divide each side by '-5'.
m = -4

Simplifying
m = -4

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