5m+6=7m-8

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Solution for 5m+6=7m-8 equation:


Simplifying
5m + 6 = 7m + -8

Reorder the terms:
6 + 5m = 7m + -8

Reorder the terms:
6 + 5m = -8 + 7m

Solving
6 + 5m = -8 + 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.
6 + 5m + -7m = -8 + 7m + -7m

Combine like terms: 5m + -7m = -2m
6 + -2m = -8 + 7m + -7m

Combine like terms: 7m + -7m = 0
6 + -2m = -8 + 0
6 + -2m = -8

Add '-6' to each side of the equation.
6 + -6 + -2m = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -8 + -6
-2m = -8 + -6

Combine like terms: -8 + -6 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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