What is the answer to solvefor x,r(x-s)=sx+t ?

The answer to solvefor x,r(x-s)=sx+t is x=(t+rs)/(r-s);\quad r\ne s

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solvefor x,r(x-s)=sx+t

solve for

x, r (x - s) = s x + t

x = \frac{t + rs}{r - s}; r \neq = s

Solution steps

r (x - s) = s x + t

Expand

r (x - s) : x r - rs

x r - rs = s x + t

Move

rs

to the right side

x r = s x + t + rs

Move

s x

to the left side

x r - s x = t + rs

Factor

x r - s x : x (r - s)

x (r - s) = t + rs

Divide both sides by

r - s; r \neq = s

x = \frac{t + rs}{r - s}; r \neq = s

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(n + 2) (n + 4) - (n + 1) (n + 5) + n^{2} + 3 n = (n + 1)^{2} + 18

\frac{4}{3} x - 2 = \frac{2 x + 3}{3} - 1

4 x + 34 = 8 - 9 x

2.8 t - 7.6 = 0

What is the answer to solvefor x,r(x-s)=sx+t ?
The answer to solvefor x,r(x-s)=sx+t is x=(t+rs)/(r-s);\quad r\ne s