3(m+2)=6(2m+4)

Solution for 3(m+2)=6(2m+4) equation:

Simplifying
3(m + 2) = 6(2m + 4)

Reorder the terms:
3(2 + m) = 6(2m + 4)
(2 * 3 + m * 3) = 6(2m + 4)
(6 + 3m) = 6(2m + 4)

Reorder the terms:
6 + 3m = 6(4 + 2m)
6 + 3m = (4 * 6 + 2m * 6)
6 + 3m = (24 + 12m)

Solving
6 + 3m = 24 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
6 + 3m + -12m = 24 + 12m + -12m

Combine like terms: 3m + -12m = -9m
6 + -9m = 24 + 12m + -12m

Combine like terms: 12m + -12m = 0
6 + -9m = 24 + 0
6 + -9m = 24

Add '-6' to each side of the equation.
6 + -6 + -9m = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9m = 24 + -6
-9m = 24 + -6

Combine like terms: 24 + -6 = 18
-9m = 18

Divide each side by '-9'.
m = -2

Simplifying
m = -2