2m-10=7m+5

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Solution for 2m-10=7m+5 equation:


Simplifying
2m + -10 = 7m + 5

Reorder the terms:
-10 + 2m = 7m + 5

Reorder the terms:
-10 + 2m = 5 + 7m

Solving
-10 + 2m = 5 + 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.
-10 + 2m + -7m = 5 + 7m + -7m

Combine like terms: 2m + -7m = -5m
-10 + -5m = 5 + 7m + -7m

Combine like terms: 7m + -7m = 0
-10 + -5m = 5 + 0
-10 + -5m = 5

Add '10' to each side of the equation.
-10 + 10 + -5m = 5 + 10

Combine like terms: -10 + 10 = 0
0 + -5m = 5 + 10
-5m = 5 + 10

Combine like terms: 5 + 10 = 15
-5m = 15

Divide each side by '-5'.
m = -3

Simplifying
m = -3

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