Hello please solve for x PLEASE SHOW FULL WORK A is just a c

Hello, please solve for x. PLEASE SHOW *FULL* WORK!

A is just a constant

Thank you

Solution

We have x/(10 – x) = Ae^10t or, x = (10 –x) Ae^10t = 10 Ae^10t - x Ae^10t or, x + x Ae^10t =10 Ae^10t or, 1+ Ae^10t) = 10 Ae^10t so that x = 10 Ae^10t/ ( 1+ Ae^10t)