6m-8=3m+7

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Solution for 6m-8=3m+7 equation:


Simplifying
6m + -8 = 3m + 7

Reorder the terms:
-8 + 6m = 3m + 7

Reorder the terms:
-8 + 6m = 7 + 3m

Solving
-8 + 6m = 7 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
-8 + 6m + -3m = 7 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-8 + 3m = 7 + 3m + -3m

Combine like terms: 3m + -3m = 0
-8 + 3m = 7 + 0
-8 + 3m = 7

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

Combine like terms: -8 + 8 = 0
0 + 3m = 7 + 8
3m = 7 + 8

Combine like terms: 7 + 8 = 15
3m = 15

Divide each side by '3'.
m = 5

Simplifying
m = 5

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