7r-5r+6=6r-r

Solution for 7r-5r+6=6r-r equation:

Simplifying
7r + -5r + 6 = 6r + -1r

Reorder the terms:
6 + 7r + -5r = 6r + -1r

Combine like terms: 7r + -5r = 2r
6 + 2r = 6r + -1r

Combine like terms: 6r + -1r = 5r
6 + 2r = 5r

Solving
6 + 2r = 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 + 2r + -5r = 5r + -5r

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

Combine like terms: 5r + -5r = 0
6 + -3r = 0

Add '-6' to each side of the equation.
6 + -6 + -3r = 0 + -6

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

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

Divide each side by '-3'.
r = 2

Simplifying
r = 2