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

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

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

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

Reorder the terms:
6 + 3m = 4(4 + m)
6 + 3m = (4 * 4 + m * 4)
6 + 3m = (16 + 4m)

Solving
6 + 3m = 16 + 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 = 16 + 4m + -4m

Combine like terms: 3m + -4m = -1m
6 + -1m = 16 + 4m + -4m

Combine like terms: 4m + -4m = 0
6 + -1m = 16 + 0
6 + -1m = 16

Add '-6' to each side of the equation.
6 + -6 + -1m = 16 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 16 + -6
-1m = 16 + -6

Combine like terms: 16 + -6 = 10
-1m = 10

Divide each side by '-1'.
m = -10

Simplifying
m = -10