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!!"