5r+6-2r=7r-20

Solution for 5r+6-2r=7r-20 equation:

Simplifying
5r + 6 + -2r = 7r + -20

Reorder the terms:
6 + 5r + -2r = 7r + -20

Combine like terms: 5r + -2r = 3r
6 + 3r = 7r + -20

Reorder the terms:
6 + 3r = -20 + 7r

Solving
6 + 3r = -20 + 7r

Solving for variable 'r'.

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

Add '-7r' to each side of the equation.
6 + 3r + -7r = -20 + 7r + -7r

Combine like terms: 3r + -7r = -4r
6 + -4r = -20 + 7r + -7r

Combine like terms: 7r + -7r = 0
6 + -4r = -20 + 0
6 + -4r = -20

Add '-6' to each side of the equation.
6 + -6 + -4r = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -4r = -20 + -6
-4r = -20 + -6

Combine like terms: -20 + -6 = -26
-4r = -26

Divide each side by '-4'.
r = 6.5

Simplifying
r = 6.5