5(4+m)=3(m+2)

Solution for 5(4+m)=3(m+2) equation:

Simplifying
5(4 + m) = 3(m + 2)
(4 * 5 + m * 5) = 3(m + 2)
(20 + 5m) = 3(m + 2)

Reorder the terms:
20 + 5m = 3(2 + m)
20 + 5m = (2 * 3 + m * 3)
20 + 5m = (6 + 3m)

Solving
20 + 5m = 6 + 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.
20 + 5m + -3m = 6 + 3m + -3m

Combine like terms: 5m + -3m = 2m
20 + 2m = 6 + 3m + -3m

Combine like terms: 3m + -3m = 0
20 + 2m = 6 + 0
20 + 2m = 6

Add '-20' to each side of the equation.
20 + -20 + 2m = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 2m = 6 + -20
2m = 6 + -20

Combine like terms: 6 + -20 = -14
2m = -14

Divide each side by '2'.
m = -7

Simplifying
m = -7