3m+8=m-7

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


Simplifying
3m + 8 = m + -7

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

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

Solving
8 + 3m = -7 + 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.
8 + 3m + -1m = -7 + m + -1m

Combine like terms: 3m + -1m = 2m
8 + 2m = -7 + m + -1m

Combine like terms: m + -1m = 0
8 + 2m = -7 + 0
8 + 2m = -7

Add '-8' to each side of the equation.
8 + -8 + 2m = -7 + -8

Combine like terms: 8 + -8 = 0
0 + 2m = -7 + -8
2m = -7 + -8

Combine like terms: -7 + -8 = -15
2m = -15

Divide each side by '2'.
m = -7.5

Simplifying
m = -7.5

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