8-2m=3m-7

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Solution for 8-2m=3m-7 equation:


Simplifying
8 + -2m = 3m + -7

Reorder the terms:
8 + -2m = -7 + 3m

Solving
8 + -2m = -7 + 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.
8 + -2m + -3m = -7 + 3m + -3m

Combine like terms: -2m + -3m = -5m
8 + -5m = -7 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + -5m = -7 + 0
8 + -5m = -7

Add '-8' to each side of the equation.
8 + -8 + -5m = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5m = -7 + -8
-5m = -7 + -8

Combine like terms: -7 + -8 = -15
-5m = -15

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

Simplifying
m = 3

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