2m+7=3m-10

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Solution for 2m+7=3m-10 equation:


Simplifying
2m + 7 = 3m + -10

Reorder the terms:
7 + 2m = 3m + -10

Reorder the terms:
7 + 2m = -10 + 3m

Solving
7 + 2m = -10 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
7 + 2m + -3m = -10 + 3m + -3m

Combine like terms: 2m + -3m = -1m
7 + -1m = -10 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + -1m = -10 + 0
7 + -1m = -10

Add '-7' to each side of the equation.
7 + -7 + -1m = -10 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = -10 + -7
-1m = -10 + -7

Combine like terms: -10 + -7 = -17
-1m = -17

Divide each side by '-1'.
m = 17

Simplifying
m = 17

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