3+2r-2=9r+3-5r

Solution for 3+2r-2=9r+3-5r equation:

Simplifying
3 + 2r + -2 = 9r + 3 + -5r

Reorder the terms:
3 + -2 + 2r = 9r + 3 + -5r

Combine like terms: 3 + -2 = 1
1 + 2r = 9r + 3 + -5r

Reorder the terms:
1 + 2r = 3 + 9r + -5r

Combine like terms: 9r + -5r = 4r
1 + 2r = 3 + 4r

Solving
1 + 2r = 3 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
1 + 2r + -4r = 3 + 4r + -4r

Combine like terms: 2r + -4r = -2r
1 + -2r = 3 + 4r + -4r

Combine like terms: 4r + -4r = 0
1 + -2r = 3 + 0
1 + -2r = 3

Add '-1' to each side of the equation.
1 + -1 + -2r = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -2r = 3 + -1
-2r = 3 + -1

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

Divide each side by '-2'.
r = -1

Simplifying
r = -1