5m-2(m-3)=17

Solution for 5m-2(m-3)=17 equation:

Simplifying
5m + -2(m + -3) = 17

Reorder the terms:
5m + -2(-3 + m) = 17
5m + (-3 * -2 + m * -2) = 17
5m + (6 + -2m) = 17

Reorder the terms:
6 + 5m + -2m = 17

Combine like terms: 5m + -2m = 3m
6 + 3m = 17

Solving
6 + 3m = 17

Solving for variable 'm'.

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

Add '-6' to each side of the equation.
6 + -6 + 3m = 17 + -6

Combine like terms: 6 + -6 = 0
0 + 3m = 17 + -6
3m = 17 + -6

Combine like terms: 17 + -6 = 11
3m = 11

Divide each side by '3'.
m = 3.666666667

Simplifying
m = 3.666666667