Respuesta :

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

[tex] \frac{4}{3x} +\frac{5}{4} =\frac{3}{x} [/tex]

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

[tex] \frac{4}{3x}*(12x) +\frac{5}{4}*(12x) =\frac{3}{x}*(12x) [/tex]

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

[tex] \frac{15x}{15} =\frac{20}{15} [/tex] Divide each sides by 15 to isolate x.

[tex] x = \frac{4}{3} [/tex]

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

"Hope this helps!!"