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

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

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

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

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

Solving
6 + 2m = 12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + 2m + -3m = 12 + 3m + -3m

Combine like terms: 2m + -3m = -1m
6 + -1m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -1m = 12 + 0
6 + -1m = 12

Add '-6' to each side of the equation.
6 + -6 + -1m = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 12 + -6
-1m = 12 + -6

Combine like terms: 12 + -6 = 6
-1m = 6

Divide each side by '-1'.
m = -6

Simplifying
m = -6