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Aleks [24]
4 years ago
13

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

Mathematics
1 answer:
Mice21 [21]4 years ago
6 0

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!!"

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