12(3+m)=5(2m-3)

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Solution for 12(3+m)=5(2m-3) equation: 


Simplifying
12(3 + m) = 5(2m + -3)
(3 * 12 + m * 12) = 5(2m + -3)
(36 + 12m) = 5(2m + -3)

Reorder the terms:
36 + 12m = 5(-3 + 2m)
36 + 12m = (-3 * 5 + 2m * 5)
36 + 12m = (-15 + 10m)

Solving
36 + 12m = -15 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
36 + 12m + -10m = -15 + 10m + -10m

Combine like terms: 12m + -10m = 2m
36 + 2m = -15 + 10m + -10m

Combine like terms: 10m + -10m = 0
36 + 2m = -15 + 0
36 + 2m = -15

Add '-36' to each side of the equation.
36 + -36 + 2m = -15 + -36

Combine like terms: 36 + -36 = 0
0 + 2m = -15 + -36
2m = -15 + -36

Combine like terms: -15 + -36 = -51
2m = -51

Divide each side by '2'.
m = -25.5

Simplifying
m = -25.5

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