3(m+2)=5m-8

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Solution for 3(m+2)=5m-8 equation:


Simplifying
3(m + 2) = 5m + -8

Reorder the terms:
3(2 + m) = 5m + -8
(2 * 3 + m * 3) = 5m + -8
(6 + 3m) = 5m + -8

Reorder the terms:
6 + 3m = -8 + 5m

Solving
6 + 3m = -8 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
6 + 3m + -5m = -8 + 5m + -5m

Combine like terms: 3m + -5m = -2m
6 + -2m = -8 + 5m + -5m

Combine like terms: 5m + -5m = 0
6 + -2m = -8 + 0
6 + -2m = -8

Add '-6' to each side of the equation.
6 + -6 + -2m = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -2m = -8 + -6
-2m = -8 + -6

Combine like terms: -8 + -6 = -14
-2m = -14

Divide each side by '-2'.
m = 7

Simplifying
m = 7

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