r+2s=8s+3r

Solution for r+2s=8s+3r equation:

Simplifying
r + 2s = 8s + 3r

Reorder the terms:
r + 2s = 3r + 8s

Solving
r + 2s = 3r + 8s

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
r + -3r + 2s = 3r + -3r + 8s

Combine like terms: r + -3r = -2r
-2r + 2s = 3r + -3r + 8s

Combine like terms: 3r + -3r = 0
-2r + 2s = 0 + 8s
-2r + 2s = 8s

Add '-2s' to each side of the equation.
-2r + 2s + -2s = 8s + -2s

Combine like terms: 2s + -2s = 0
-2r + 0 = 8s + -2s
-2r = 8s + -2s

Combine like terms: 8s + -2s = 6s
-2r = 6s

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

Simplifying
r = -3s