3(4+m)+2(5+2m)=50

Solution for 3(4+m)+2(5+2m)=50 equation:

Simplifying
3(4 + m) + 2(5 + 2m) = 50
(4 * 3 + m * 3) + 2(5 + 2m) = 50
(12 + 3m) + 2(5 + 2m) = 50
12 + 3m + (5 * 2 + 2m * 2) = 50
12 + 3m + (10 + 4m) = 50

Reorder the terms:
12 + 10 + 3m + 4m = 50

Combine like terms: 12 + 10 = 22
22 + 3m + 4m = 50

Combine like terms: 3m + 4m = 7m
22 + 7m = 50

Solving
22 + 7m = 50

Solving for variable 'm'.

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

Add '-22' to each side of the equation.
22 + -22 + 7m = 50 + -22

Combine like terms: 22 + -22 = 0
0 + 7m = 50 + -22
7m = 50 + -22

Combine like terms: 50 + -22 = 28
7m = 28

Divide each side by '7'.
m = 4

Simplifying
m = 4