SOLUTION: The given equation is either linear or equivalent to a linear equation. Solve the equation. 16x - 9 _______ = 2 - 8/x 8x+3 x= I need detailed help in solving equation

Algebra ->  Linear-equations -> SOLUTION: The given equation is either linear or equivalent to a linear equation. Solve the equation. 16x - 9 _______ = 2 - 8/x 8x+3 x= I need detailed help in solving equation      Log On


   

Question 775487: The given equation is either linear or equivalent to a linear equation. Solve the equation.

16x - 9
_______ = 2 - 8/x
8x+3
x=
I need detailed help in solving equations similar to this step by step so I can better understand how to work these problems out
Answer by sofiyac(983) About Me  (Show Source):
You can put this solution on YOUR website!
%2816x-9%29%2F%288x%2B3%29=2-8%2Fx common denominator on the right side is x so
%2816x-9%29%2F%288x%2B3%29=2x%2Fx-8%2Fx
%2816x-9%29%2F%288x%2B3%29=%282x-8%29%2Fx now multiply across
x%2816x-9%29=%288x%2B3%29%282x-8%29 simplify
16x%5E2-9x=16x%5E2%2B6x-64x-24 subtract 16x^2 from each side
-9x=6x-64x-24
-9x=-58x-24 add 58x to each side
49x=-24 divide each side by 49
x=-24%2F49