5m-5=7m+8-m

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


Simplifying
5m + -5 = 7m + 8 + -1m

Reorder the terms:
-5 + 5m = 7m + 8 + -1m

Reorder the terms:
-5 + 5m = 8 + 7m + -1m

Combine like terms: 7m + -1m = 6m
-5 + 5m = 8 + 6m

Solving
-5 + 5m = 8 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
-5 + 5m + -6m = 8 + 6m + -6m

Combine like terms: 5m + -6m = -1m
-5 + -1m = 8 + 6m + -6m

Combine like terms: 6m + -6m = 0
-5 + -1m = 8 + 0
-5 + -1m = 8

Add '5' to each side of the equation.
-5 + 5 + -1m = 8 + 5

Combine like terms: -5 + 5 = 0
0 + -1m = 8 + 5
-1m = 8 + 5

Combine like terms: 8 + 5 = 13
-1m = 13

Divide each side by '-1'.
m = -13

Simplifying
m = -13

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