Question

$\rightarrow$Question :
$\sf{ \frac{x - 3}{9} - \frac{x - 2}{10} = 1 - \frac{x}{12}}$
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Answer 1

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Multiplying both sides of the equation by 180, the LCM of 9,10 and 12, we get

$( \frac{x - 3}{9}) \times 180 - ( \frac{x - 2}{10}) \times 180 = ( 1 - \frac{x}{12}) \times 180$

$\rightarrow$ (x - 3) × 20 - (x - 2) × 18 = (12 - x/12) × 180

$\rightarrow$ 20x - 60 - 18x + 36 = (12 - x) × 15

$\rightarrow$ 20x - 18x - 60 + 36 = 180 - 15x

$\rightarrow$ 2x - 24 = 180 - 15x

$\rightarrow$ 2x + 15x = 180 + 24

$\rightarrow$ 17x = 204

$\rightarrow$ Hence, x = 12

Answer 2

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