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:

$\frac{4}{3x} +\frac{5}{4} =\frac{3}{x}$

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

$\frac{4}{3x}*(12x) +\frac{5}{4}*(12x) =\frac{3}{x}*(12x)$

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

$\frac{15x}{15} =\frac{20}{15}$ Divide each sides by 15 to isolate x.

$x = \frac{4}{3}$

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

"Hope this helps!!"