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Fundamental Theorem of Arithmetic

Solve: for x ...

Question

Solve: for x
$\frac{3 - 2 x}{2 x + 5} = - \frac{3}{11}$

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Solution

$\frac{3 - 2 x}{2 x + 5}$ $=$ $-$ $\frac{3}{11}$

$C r o s s$ $m u l t i p l y i n g,$
$11 (3 - 2 x) = - 3 (2 x + 5)$
$33 - 22 x = - 6 x - 15$
$16 x = 48$
$x = 3$

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