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

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

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

Reorder the terms:
3(-2 + 3m) = 5(4 + -1m)
(-2 * 3 + 3m * 3) = 5(4 + -1m)
(-6 + 9m) = 5(4 + -1m)
-6 + 9m = (4 * 5 + -1m * 5)
-6 + 9m = (20 + -5m)

Solving
-6 + 9m = 20 + -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.
-6 + 9m + 5m = 20 + -5m + 5m

Combine like terms: 9m + 5m = 14m
-6 + 14m = 20 + -5m + 5m

Combine like terms: -5m + 5m = 0
-6 + 14m = 20 + 0
-6 + 14m = 20

Add '6' to each side of the equation.
-6 + 6 + 14m = 20 + 6

Combine like terms: -6 + 6 = 0
0 + 14m = 20 + 6
14m = 20 + 6

Combine like terms: 20 + 6 = 26
14m = 26

Divide each side by '14'.
m = 1.857142857

Simplifying
m = 1.857142857