3m-2(m-3)=1

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

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

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

Reorder the terms:
6 + 3m + -2m = 1

Combine like terms: 3m + -2m = 1m
6 + 1m = 1

Solving
6 + 1m = 1

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 + 1m = 1 + -6

Combine like terms: 6 + -6 = 0
0 + 1m = 1 + -6
1m = 1 + -6

Combine like terms: 1 + -6 = -5
1m = -5

Divide each side by '1'.
m = -5

Simplifying
m = -5