Question

x-2/9 + 1/3 = x - 2x - 1/3​

Answer 1

We have given that,

$\sf\:\dfrac{x\:-\:2}{9}\:+\:\frac{1}{3}\:=\:\dfrac{x\:-\:2x\:-\:1}{3}$

We have to find the value of x.

$\begin{gathered}\therefore\sf\:\dfrac{x\:-\:2}{9}\:+\:\frac{1}{3}\:=\:\dfrac{x\:-\:2x\:-\:1}{3}\\\\\implies\sf \dfrac{x\:-\:2}{9}\:+\:\frac{3}{9}\:=\:\dfrac{-\:x\:-\:1}{3}\:\:\:-\:-\:[\:Eauating\:the\:denominator\:]\\\\\implies\sf\:\dfrac{x\:-\:2\:+\:3}{9}\:=\:\dfrac{\:-\:x\:-\:1}{3}\\\\\implies\sf\:\dfrac{x\:+\:1}{9}\:=\:\dfrac{-\:x\:-\:1}{3}\\\\\implies\sf\:3\:(\:x\:+\:1\:)\:=\:9\:(\:-\:x\:-\:1\:)\\\\\implies\sf\:3x\:+\:3\:=\:-\:9x\:-\:9\\\\\implies\sf\:3x\:+\:9x\:=\:-\:9\:-\:3\\\\\implies\sf\:12x\:=\:-\:12\\\\\implies\sf\:x\:=\:-\:\cancel{\frac{12}{12}}\\\\\implies\boxed{\red{\sf\:x\:=\:-\:1}}\end{gathered}$

Answer 2

Step-by-step explanation:

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