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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

A number subt...

Question

A number subtracted by $30$ gives $14$ subtracted by $3$ times the number. Find the number.

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Solution

Let the number be $x$ .
As per the question, we have
$30 - x = 3 x - 14$
Transpose $x$ on one side,
$30 + 14 = 3 x + x$
$4 x = 44$
$x = 11$
Therefore, the number is $11$ .

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