3m+7=m-9

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Solution for 3m+7=m-9 equation:


Simplifying
3m + 7 = m + -9

Reorder the terms:
7 + 3m = m + -9

Reorder the terms:
7 + 3m = -9 + m

Solving
7 + 3m = -9 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
7 + 3m + -1m = -9 + m + -1m

Combine like terms: 3m + -1m = 2m
7 + 2m = -9 + m + -1m

Combine like terms: m + -1m = 0
7 + 2m = -9 + 0
7 + 2m = -9

Add '-7' to each side of the equation.
7 + -7 + 2m = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 2m = -9 + -7
2m = -9 + -7

Combine like terms: -9 + -7 = -16
2m = -16

Divide each side by '2'.
m = -8

Simplifying
m = -8

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