2r+3=3r-3

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

Simplifying
2r + 3 = 3r + -3

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

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

Solving
3 + 2r = -3 + 3r

Solving for variable 'r'.

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

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

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

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

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

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

Combine like terms: -3 + -3 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6