6m-2=3m+13

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Solution for 6m-2=3m+13 equation:


Simplifying
6m + -2 = 3m + 13

Reorder the terms:
-2 + 6m = 3m + 13

Reorder the terms:
-2 + 6m = 13 + 3m

Solving
-2 + 6m = 13 + 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.
-2 + 6m + -3m = 13 + 3m + -3m

Combine like terms: 6m + -3m = 3m
-2 + 3m = 13 + 3m + -3m

Combine like terms: 3m + -3m = 0
-2 + 3m = 13 + 0
-2 + 3m = 13

Add '2' to each side of the equation.
-2 + 2 + 3m = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 3m = 13 + 2
3m = 13 + 2

Combine like terms: 13 + 2 = 15
3m = 15

Divide each side by '3'.
m = 5

Simplifying
m = 5

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