7m+3(m+2)=24m

Solution for 7m+3(m+2)=24m equation:

Simplifying
7m + 3(m + 2) = 24m

Reorder the terms:
7m + 3(2 + m) = 24m
7m + (2 * 3 + m * 3) = 24m
7m + (6 + 3m) = 24m

Reorder the terms:
6 + 7m + 3m = 24m

Combine like terms: 7m + 3m = 10m
6 + 10m = 24m

Solving
6 + 10m = 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
6 + 10m + -24m = 24m + -24m

Combine like terms: 10m + -24m = -14m
6 + -14m = 24m + -24m

Combine like terms: 24m + -24m = 0
6 + -14m = 0

Add '-6' to each side of the equation.
6 + -6 + -14m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -14m = 0 + -6
-14m = 0 + -6

Combine like terms: 0 + -6 = -6
-14m = -6

Divide each side by '-14'.
m = 0.4285714286

Simplifying
m = 0.4285714286