r(x+s)=sx-t

Solution for r(x+s)=sx-t equation:

Simplifying
r(x + s) = sx + -1t

Reorder the terms:
r(s + x) = sx + -1t
(s * r + x * r) = sx + -1t
(rs + rx) = sx + -1t

Solving
rs + rx = sx + -1t

Solving for variable 'r'.

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

Reorder the terms:
rs + rx + -1sx + t = sx + -1sx + -1t + t

Combine like terms: sx + -1sx = 0
rs + rx + -1sx + t = 0 + -1t + t
rs + rx + -1sx + t = -1t + t

Combine like terms: -1t + t = 0
rs + rx + -1sx + t = 0

The solution to this equation could not be determined.