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Solving Equations with Variables on Both Sides

Solve 23-x=3...

Question

Solve
$\frac{2}{3} - x = \frac{3 x - 2}{4} - \frac{2 x + 3}{3}$

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Solution

We have,
$\frac{2}{3} - x = \frac{3 x - 2}{4} - \frac{2 x + 3}{3}$
$\frac{2 - x}{3} = \frac{3 (3 x - 2) - 4 (2 x + 3)}{12}$
$4 (2 - x) = 9 x - 6 - 8 x - 12$
$8 - 4 x = 9 x - 6 - 8 x - 12$
$8 - 4 x = x - 18$
$5 x = 26$
Hence,
We get $x = 5.2$

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Solving Equations with Variables on Both Sides

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