k(t-1)-s(2-t)=k+s

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Solution for k(t-1)-s(2-t)=k+s equation:


Simplifying
k(t + -1) + -1s(2 + -1t) = k + s

Reorder the terms:
k(-1 + t) + -1s(2 + -1t) = k + s
(-1 * k + t * k) + -1s(2 + -1t) = k + s
(-1k + kt) + -1s(2 + -1t) = k + s
-1k + kt + (2 * -1s + -1t * -1s) = k + s
-1k + kt + (-2s + 1st) = k + s

Solving
-1k + kt + -2s + 1st = k + s

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-1k + kt + -2s + -1k + 1st = k + -1k + s

Reorder the terms:
-1k + -1k + kt + -2s + 1st = k + -1k + s

Combine like terms: -1k + -1k = -2k
-2k + kt + -2s + 1st = k + -1k + s

Combine like terms: k + -1k = 0
-2k + kt + -2s + 1st = 0 + s
-2k + kt + -2s + 1st = s

Add '2s' to each side of the equation.
-2k + kt + -2s + 2s + 1st = s + 2s

Combine like terms: -2s + 2s = 0
-2k + kt + 0 + 1st = s + 2s
-2k + kt + 1st = s + 2s

Combine like terms: s + 2s = 3s
-2k + kt + 1st = 3s

Add '-1st' to each side of the equation.
-2k + kt + 1st + -1st = 3s + -1st

Combine like terms: 1st + -1st = 0
-2k + kt + 0 = 3s + -1st
-2k + kt = 3s + -1st

Reorder the terms:
-2k + kt + -3s + st = 3s + -3s + -1st + st

Combine like terms: 3s + -3s = 0
-2k + kt + -3s + st = 0 + -1st + st
-2k + kt + -3s + st = -1st + st

Combine like terms: -1st + st = 0
-2k + kt + -3s + st = 0

The solution to this equation could not be determined.

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