3m-10=7m+2

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


Simplifying
3m + -10 = 7m + 2

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

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

Solving
-10 + 3m = 2 + 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 + 3m + -7m = 2 + 7m + -7m

Combine like terms: 3m + -7m = -4m
-10 + -4m = 2 + 7m + -7m

Combine like terms: 7m + -7m = 0
-10 + -4m = 2 + 0
-10 + -4m = 2

Add '10' to each side of the equation.
-10 + 10 + -4m = 2 + 10

Combine like terms: -10 + 10 = 0
0 + -4m = 2 + 10
-4m = 2 + 10

Combine like terms: 2 + 10 = 12
-4m = 12

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

Simplifying
m = -3

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