5x 13(x+1)=6(x+130) ⇒ 5x x3 13=6x+630 ⇒ 5x x3 6x=630+13 ⇒15 x 18x3=6+1030 ⇒ 4x3=1630 ⇒ x=410 ⇒ x= 25 . ...

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Finding the Value of an Expression

5x-1/3x+1=6x+...

Question

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$

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Solution

$5 x - \frac{1}{3} (x + 1) = 6 (x + \frac{1}{30})$
$\Rightarrow 5 x - \frac{x}{3} - \frac{1}{3} = 6 x + \frac{6}{30}$
$\Rightarrow 5 x - \frac{x}{3} - 6 x = \frac{6}{30} + \frac{1}{3}$
$\Rightarrow \frac{15 - x - 18 x}{3} = \frac{6 + 10}{30}$
$\Rightarrow - \frac{4 x}{3} = \frac{16}{30}$
$\Rightarrow - x = \frac{4}{10}$
$\Rightarrow x = - \frac{2}{5}$ .

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