3(m+2)=5(12m+24)

Solution for 3(m+2)=5(12m+24) equation:

Simplifying
3(m + 2) = 5(12m + 24)

Reorder the terms:
3(2 + m) = 5(12m + 24)
(2 * 3 + m * 3) = 5(12m + 24)
(6 + 3m) = 5(12m + 24)

Reorder the terms:
6 + 3m = 5(24 + 12m)
6 + 3m = (24 * 5 + 12m * 5)
6 + 3m = (120 + 60m)

Solving
6 + 3m = 120 + 60m

Solving for variable 'm'.

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

Add '-60m' to each side of the equation.
6 + 3m + -60m = 120 + 60m + -60m

Combine like terms: 3m + -60m = -57m
6 + -57m = 120 + 60m + -60m

Combine like terms: 60m + -60m = 0
6 + -57m = 120 + 0
6 + -57m = 120

Add '-6' to each side of the equation.
6 + -6 + -57m = 120 + -6

Combine like terms: 6 + -6 = 0
0 + -57m = 120 + -6
-57m = 120 + -6

Combine like terms: 120 + -6 = 114
-57m = 114

Divide each side by '-57'.
m = -2

Simplifying
m = -2