2r-6=3-r

Solution for 2r-6=3-r equation:

Simplifying
2r + -6 = 3 + -1r

Reorder the terms:
-6 + 2r = 3 + -1r

Solving
-6 + 2r = 3 + -1r

Solving for variable 'r'.

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

Add 'r' to each side of the equation.
-6 + 2r + r = 3 + -1r + r

Combine like terms: 2r + r = 3r
-6 + 3r = 3 + -1r + r

Combine like terms: -1r + r = 0
-6 + 3r = 3 + 0
-6 + 3r = 3

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

Combine like terms: -6 + 6 = 0
0 + 3r = 3 + 6
3r = 3 + 6

Combine like terms: 3 + 6 = 9
3r = 9

Divide each side by '3'.
r = 3

Simplifying
r = 3