5r+6-2r=7r-8r

Solution for 5r+6-2r=7r-8r equation:

Simplifying
5r + 6 + -2r = 7r + -8r

Reorder the terms:
6 + 5r + -2r = 7r + -8r

Combine like terms: 5r + -2r = 3r
6 + 3r = 7r + -8r

Combine like terms: 7r + -8r = -1r
6 + 3r = -1r

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 4r = 0 + -6

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

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

Divide each side by '4'.
r = -1.5

Simplifying
r = -1.5