3r-(2r-2)=5-(3-2r)

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

Simplifying
3r + -1(2r + -2) = 5 + -1(3 + -2r)

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

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

Combine like terms: 3r + -2r = 1r
2 + 1r = 5 + -1(3 + -2r)
2 + 1r = 5 + (3 * -1 + -2r * -1)
2 + 1r = 5 + (-3 + 2r)

Combine like terms: 5 + -3 = 2
2 + 1r = 2 + 2r

Add '-2' to each side of the equation.
2 + -2 + 1r = 2 + -2 + 2r

Combine like terms: 2 + -2 = 0
0 + 1r = 2 + -2 + 2r
1r = 2 + -2 + 2r

Combine like terms: 2 + -2 = 0
1r = 0 + 2r
1r = 2r

Solving
1r = 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
1r + -2r = 2r + -2r

Combine like terms: 1r + -2r = -1r
-1r = 2r + -2r

Combine like terms: 2r + -2r = 0
-1r = 0

Divide each side by '-1'.
r = 0

Simplifying
r = 0