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

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

Simplifying
3(4 + m) = (m * 5)
(4 * 3 + m * 3) = (m * 5)
(12 + 3m) = (m * 5)

Reorder the terms for easier multiplication:
12 + 3m = (5m)

Solving
12 + 3m = (5m)

Solving for variable 'm'.

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

Add '(-5m)' to each side of the equation.
12 + 3m + (-5m) = (5m) + (-5m)

Combine like terms: 3m + (-5m) = -2m
12 + -2m = (5m) + (-5m)

Combine like terms: (5m) + (-5m) = 0
12 + -2m = 0

Add '-12' to each side of the equation.
12 + -12 + -2m = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2m = 0 + -12
-2m = 0 + -12

Combine like terms: 0 + -12 = -12
-2m = -12

Divide each side by '-2'.
m = 6

Simplifying
m = 6