r(x+6)+r(x-1)=7

Solution for r(x+6)+r(x-1)=7 equation:

Simplifying
r(x + 6) + r(x + -1) = 7

Reorder the terms:
r(6 + x) + r(x + -1) = 7
(6 * r + x * r) + r(x + -1) = 7
(6r + rx) + r(x + -1) = 7

Reorder the terms:
6r + rx + r(-1 + x) = 7
6r + rx + (-1 * r + x * r) = 7
6r + rx + (-1r + rx) = 7

Reorder the terms:
6r + -1r + rx + rx = 7

Combine like terms: 6r + -1r = 5r
5r + rx + rx = 7

Combine like terms: rx + rx = 2rx
5r + 2rx = 7

Solving
5r + 2rx = 7

Solving for variable 'r'.

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

Reorder the terms:
-7 + 5r + 2rx = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 5r + 2rx = 0

The solution to this equation could not be determined.