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

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

Simplifying
3(m + 2) = 4(3 + -1m)

Reorder the terms:
3(2 + m) = 4(3 + -1m)
(2 * 3 + m * 3) = 4(3 + -1m)
(6 + 3m) = 4(3 + -1m)
6 + 3m = (3 * 4 + -1m * 4)
6 + 3m = (12 + -4m)

Solving
6 + 3m = 12 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
6 + 3m + 4m = 12 + -4m + 4m

Combine like terms: 3m + 4m = 7m
6 + 7m = 12 + -4m + 4m

Combine like terms: -4m + 4m = 0
6 + 7m = 12 + 0
6 + 7m = 12

Add '-6' to each side of the equation.
6 + -6 + 7m = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 7m = 12 + -6
7m = 12 + -6

Combine like terms: 12 + -6 = 6
7m = 6

Divide each side by '7'.
m = 0.8571428571

Simplifying
m = 0.8571428571