Question

x/2+5/9=2x/3, find the value of x.​

Answer 1

Answer:

Refer the attachment.

Step-by-step explanation:

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Answer 2

$\huge\mathfrak\red{\underline{\underline{Solution}}}$

$\implies\frac{x}{2} + \frac{5}{9} = \frac{2x}{3}$

ʟᴄᴍ ᴏғ 2 , 9 ɪs 18

$\implies\frac{x × 9 + 5 × 2}{18} = \frac{2x}{3}$

$\implies\frac{9x + 10}{18}=\frac{2x}{3}$

$\implies 3( 9x + 10 ) = (18)(2x)$

$\implies 27x + 30 = 36x$

$\implies 36x - 27x = 30$

$\implies 9x = 30$

$\implies x = \cancel\frac{30}{9} = \frac{10}{3}$