12m-7=8m+13

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Solution for 12m-7=8m+13 equation:


Simplifying
12m + -7 = 8m + 13

Reorder the terms:
-7 + 12m = 8m + 13

Reorder the terms:
-7 + 12m = 13 + 8m

Solving
-7 + 12m = 13 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
-7 + 12m + -8m = 13 + 8m + -8m

Combine like terms: 12m + -8m = 4m
-7 + 4m = 13 + 8m + -8m

Combine like terms: 8m + -8m = 0
-7 + 4m = 13 + 0
-7 + 4m = 13

Add '7' to each side of the equation.
-7 + 7 + 4m = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 4m = 13 + 7
4m = 13 + 7

Combine like terms: 13 + 7 = 20
4m = 20

Divide each side by '4'.
m = 5

Simplifying
m = 5

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