2(3m-2)+4(1+m)=3(3m+5)

Solution for 2(3m-2)+4(1+m)=3(3m+5) equation:

Simplifying
2(3m + -2) + 4(1 + m) = 3(3m + 5)

Reorder the terms:
2(-2 + 3m) + 4(1 + m) = 3(3m + 5)
(-2 * 2 + 3m * 2) + 4(1 + m) = 3(3m + 5)
(-4 + 6m) + 4(1 + m) = 3(3m + 5)
-4 + 6m + (1 * 4 + m * 4) = 3(3m + 5)
-4 + 6m + (4 + 4m) = 3(3m + 5)

Reorder the terms:
-4 + 4 + 6m + 4m = 3(3m + 5)

Combine like terms: -4 + 4 = 0
0 + 6m + 4m = 3(3m + 5)
6m + 4m = 3(3m + 5)

Combine like terms: 6m + 4m = 10m
10m = 3(3m + 5)

Reorder the terms:
10m = 3(5 + 3m)
10m = (5 * 3 + 3m * 3)
10m = (15 + 9m)

Solving
10m = 15 + 9m

Solving for variable 'm'.

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

Add '-9m' to each side of the equation.
10m + -9m = 15 + 9m + -9m

Combine like terms: 10m + -9m = 1m
1m = 15 + 9m + -9m

Combine like terms: 9m + -9m = 0
1m = 15 + 0
1m = 15

Divide each side by '1'.
m = 15

Simplifying
m = 15