4/7x - 8/14x - 17/7x = 1/5x - 9/3x +2
Find the value of x

Dear Student,

Please find below the solution to the asked query:

We have : $\frac{4}{7}x - \frac{8}{14}x - \frac{17}{7}x = \frac{1}{5}x - \frac{9}{3}x +\hspace{0.17em}2$ , So

$$\begin{gathered} \frac{8 x - 8 x - 34 x}{14} = \frac{3 x - 45 x + 30}{15} \\ \Rightarrow \frac{- 34 x}{14} = \frac{- 42 x + 30}{15} \\ \Rightarrow -\frac{17 x}{7} = \frac{- 42 x + 30}{15} \\ \Rightarrow - 255 x = - 294 x + 210 \\ \Rightarrow 39 x = 210 \\ \Rightarrow x = \frac{ 210}{39} \\ \mathbf{\Rightarrow }\mathit{x}\mathbf{ }\mathbf{=}\frac{\mathbf{70}}{\mathbf{13}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)} \end{gathered}$$

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