(5m-3)-(m-2)=

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

Simplifying
(5m + -3) + -1(m + -2) = 0

Reorder the terms:
(-3 + 5m) + -1(m + -2) = 0

Remove parenthesis around (-3 + 5m)
-3 + 5m + -1(m + -2) = 0

Reorder the terms:
-3 + 5m + -1(-2 + m) = 0
-3 + 5m + (-2 * -1 + m * -1) = 0
-3 + 5m + (2 + -1m) = 0

Reorder the terms:
-3 + 2 + 5m + -1m = 0

Combine like terms: -3 + 2 = -1
-1 + 5m + -1m = 0

Combine like terms: 5m + -1m = 4m
-1 + 4m = 0

Solving
-1 + 4m = 0

Solving for variable 'm'.

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

Add '1' to each side of the equation.
-1 + 1 + 4m = 0 + 1

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

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

Divide each side by '4'.
m = 0.25

Simplifying
m = 0.25