6-3m=5(2-m)

Solution for 6-3m=5(2-m) equation:

Simplifying
6 + -3m = 5(2 + -1m)
6 + -3m = (2 * 5 + -1m * 5)
6 + -3m = (10 + -5m)

Solving
6 + -3m = 10 + -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 + -3m + 5m = 10 + -5m + 5m

Combine like terms: -3m + 5m = 2m
6 + 2m = 10 + -5m + 5m

Combine like terms: -5m + 5m = 0
6 + 2m = 10 + 0
6 + 2m = 10

Add '-6' to each side of the equation.
6 + -6 + 2m = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = 10 + -6
2m = 10 + -6

Combine like terms: 10 + -6 = 4
2m = 4

Divide each side by '2'.
m = 2

Simplifying
m = 2