Question

2/3x + 1 / x + 1/4 = 5/3 ​

Answer 1

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$\longrightarrow \sf \frac{2}{3x} + \frac{1}{x} + \frac{1}{4} = \frac{5}{3} \\ \\\longrightarrow \sf \frac{2}{3x} + \frac{1}{x} = \frac{5}{3} - \frac{1}{4} \\ \\ \longrightarrow \sf\frac{2 + 3}{3x} = \frac{20 - 3}{12} \\ \\ \longrightarrow \sf\frac{5}{3x} = \frac{17}{12} \\ \\\longrightarrow \sf 3x(17) = 5(12) \\ \\\longrightarrow \sf 51x = 60 \\ \\\longrightarrow \sf x = \frac{60}{51} \\ \\\longrightarrow \boxed{ \sf x = \frac{20}{17}}$

Answer 2

Answer:

Question -

$\frac{ \frac{2}{3}x + 1 }{ x + \frac{1}{4} } = \frac{5}{3}$

Correct Answer -

$= > \: \: x = \frac{7}{12}$

Solution Process -

$3( \frac{2}{3} x + 1) = 5(x + \frac{1}{4} )$

$2x + 3 = 5x + \frac{5}{4}$

$5x - 2x = 3 - \frac{5}{4}$

$3x = \frac{12 - 5}{4}$

$3x = \frac{7}{4}$

$= > \: \: x = \frac{7}{12}$

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