Question

What does X equal in the equation 4/3x + 5/4 = 3/x

Answer 1

I hope this is the correct form of the equation that you are trying to write:

`(4)/(3x) +(5)/(4) =(3)/(x)`

First step to solve this equation, multiply each sides with the common denominator 12x so that we can get rid of fraction form. So,

`(4)/(3x)*(12x) +(5)/(4)*(12x) =(3)/(x)*(12x)`

Next step is to cancel out the common factor from both numerator and denominator of each fractions.

4(4) + 5(3x) = 3(12)

16 + 15x = 36

16 + 15x - 16 = 36 - 16 Subtract 16 from each sides.

15x = 20

`(15x)/(15) =(20)/(15)` Divide each sides by 15 to isolate x.

`x = (4)/(3)`

So, x = \frac{4}{3}

"Hope this helps!!"