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

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

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

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

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

Combine like terms: -6 + -3 = -9
-9 + 3m + 1m = 1

Combine like terms: 3m + 1m = 4m
-9 + 4m = 1

Solving
-9 + 4m = 1

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + 4m = 1 + 9

Combine like terms: -9 + 9 = 0
0 + 4m = 1 + 9
4m = 1 + 9

Combine like terms: 1 + 9 = 10
4m = 10

Divide each side by '4'.
m = 2.5

Simplifying
m = 2.5