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

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

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

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

Reorder the terms:
6 + 3m = 4(3 + 2m)
6 + 3m = (3 * 4 + 2m * 4)
6 + 3m = (12 + 8m)

Solving
6 + 3m = 12 + 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.
6 + 3m + -8m = 12 + 8m + -8m

Combine like terms: 3m + -8m = -5m
6 + -5m = 12 + 8m + -8m

Combine like terms: 8m + -8m = 0
6 + -5m = 12 + 0
6 + -5m = 12

Add '-6' to each side of the equation.
6 + -6 + -5m = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = 12 + -6
-5m = 12 + -6

Combine like terms: 12 + -6 = 6
-5m = 6

Divide each side by '-5'.
m = -1.2

Simplifying
m = -1.2