6-r+2s=8

Solution for 6-r+2s=8 equation:

Simplifying
6 + -1r + 2s = 8

Solving
6 + -1r + 2s = 8

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -1r + -6 + 2s = 8 + -6

Reorder the terms:
6 + -6 + -1r + 2s = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -1r + 2s = 8 + -6
-1r + 2s = 8 + -6

Combine like terms: 8 + -6 = 2
-1r + 2s = 2

Add '-2s' to each side of the equation.
-1r + 2s + -2s = 2 + -2s

Combine like terms: 2s + -2s = 0
-1r + 0 = 2 + -2s
-1r = 2 + -2s

Divide each side by '-1'.
r = -2 + 2s

Simplifying
r = -2 + 2s