3m-8=5m+7-m

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Solution for 3m-8=5m+7-m equation:


Simplifying
3m + -8 = 5m + 7 + -1m

Reorder the terms:
-8 + 3m = 5m + 7 + -1m

Reorder the terms:
-8 + 3m = 7 + 5m + -1m

Combine like terms: 5m + -1m = 4m
-8 + 3m = 7 + 4m

Solving
-8 + 3m = 7 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
-8 + 3m + -4m = 7 + 4m + -4m

Combine like terms: 3m + -4m = -1m
-8 + -1m = 7 + 4m + -4m

Combine like terms: 4m + -4m = 0
-8 + -1m = 7 + 0
-8 + -1m = 7

Add '8' to each side of the equation.
-8 + 8 + -1m = 7 + 8

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

Combine like terms: 7 + 8 = 15
-1m = 15

Divide each side by '-1'.
m = -15

Simplifying
m = -15

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