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

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

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

Reorder the terms:
2(-3 + 4m) + -1(3m + -3) = 2
(-3 * 2 + 4m * 2) + -1(3m + -3) = 2
(-6 + 8m) + -1(3m + -3) = 2

Reorder the terms:
-6 + 8m + -1(-3 + 3m) = 2
-6 + 8m + (-3 * -1 + 3m * -1) = 2
-6 + 8m + (3 + -3m) = 2

Reorder the terms:
-6 + 3 + 8m + -3m = 2

Combine like terms: -6 + 3 = -3
-3 + 8m + -3m = 2

Combine like terms: 8m + -3m = 5m
-3 + 5m = 2

Solving
-3 + 5m = 2

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + 5m = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5m = 2 + 3
5m = 2 + 3

Combine like terms: 2 + 3 = 5
5m = 5

Divide each side by '5'.
m = 1

Simplifying
m = 1