SOLUTION: Solve the following nonlinear equation algebraically. (NOTE: even though these equations are not linear, some steps in the solution will contain a linear equation) The problem

Question 122085: Solve the following nonlinear equation algebraically. (NOTE: even though these equations are not linear, some steps in the solution will contain a linear equation)
The problem number in 19 at this website. THe Answer is suppose to be x=25 but i can not figure out how?
http://online.math.uh.edu/Math1310/ch2/s21/index.html (it is UNiversity of houston alegebra book)
(4/x-5)-(1/3)=(-8/3x-15)

Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
if x=25 then
let see the equation: (4/(x-5))-(1/3)=(-8/(3x-15)) then 4/20 -1/3 = -8/60 then
1/5 - 1/3 =-2/15 then -2/15 = -2/15
so x=25 is the solution
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