3r+6=5r-6

Solution for 3r+6=5r-6 equation:

Simplifying
3r + 6 = 5r + -6

Reorder the terms:
6 + 3r = 5r + -6

Reorder the terms:
6 + 3r = -6 + 5r

Solving
6 + 3r = -6 + 5r

Solving for variable 'r'.

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

Add '-5r' to each side of the equation.
6 + 3r + -5r = -6 + 5r + -5r

Combine like terms: 3r + -5r = -2r
6 + -2r = -6 + 5r + -5r

Combine like terms: 5r + -5r = 0
6 + -2r = -6 + 0
6 + -2r = -6

Add '-6' to each side of the equation.
6 + -6 + -2r = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -2r = -6 + -6
-2r = -6 + -6

Combine like terms: -6 + -6 = -12
-2r = -12

Divide each side by '-2'.
r = 6

Simplifying
r = 6