5r-6+r=4r-22

Solution for 5r-6+r=4r-22 equation:

Simplifying
5r + -6 + r = 4r + -22

Reorder the terms:
-6 + 5r + r = 4r + -22

Combine like terms: 5r + r = 6r
-6 + 6r = 4r + -22

Reorder the terms:
-6 + 6r = -22 + 4r

Solving
-6 + 6r = -22 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
-6 + 6r + -4r = -22 + 4r + -4r

Combine like terms: 6r + -4r = 2r
-6 + 2r = -22 + 4r + -4r

Combine like terms: 4r + -4r = 0
-6 + 2r = -22 + 0
-6 + 2r = -22

Add '6' to each side of the equation.
-6 + 6 + 2r = -22 + 6

Combine like terms: -6 + 6 = 0
0 + 2r = -22 + 6
2r = -22 + 6

Combine like terms: -22 + 6 = -16
2r = -16

Divide each side by '2'.
r = -8

Simplifying
r = -8