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Solving Equations with Variables on Both Sides

Solve for x: ...

Question

Solve for x: $x = (2 x - \frac{3 x}{7}) - \frac{4 x - 27}{3} - 3$

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Solution

$\begin{matrix} x = (2 x - \frac{3 x}{7}) - \frac{4 x - 27}{3} - 3 N o w, \Rightarrow x + 3 = (\frac{14 x - 3 x}{7}) - \frac{4 x - 27}{3} \Rightarrow x + 3 = \frac{33 x - 7 (4 x - 27)}{21} \Rightarrow 21 x + 63 = 33 x - 28 x + 189 \Rightarrow x = \frac{126}{16} = \frac{63}{8} \end{matrix}$

Hence, this is the answer.

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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