5r-6=1r+3

Solution for 5r-6=1r+3 equation:

Simplifying
5r + -6 = 1r + 3

Reorder the terms:
-6 + 5r = 1r + 3

Reorder the terms:
-6 + 5r = 3 + 1r

Solving
-6 + 5r = 3 + 1r

Solving for variable 'r'.

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

Add '-1r' to each side of the equation.
-6 + 5r + -1r = 3 + 1r + -1r

Combine like terms: 5r + -1r = 4r
-6 + 4r = 3 + 1r + -1r

Combine like terms: 1r + -1r = 0
-6 + 4r = 3 + 0
-6 + 4r = 3

Add '6' to each side of the equation.
-6 + 6 + 4r = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 4r = 3 + 6
4r = 3 + 6

Combine like terms: 3 + 6 = 9
4r = 9

Divide each side by '4'.
r = 2.25

Simplifying
r = 2.25