Translate this statement into an equation, using $x$ as the variable:
One- fifth of a number is $7$ less than that number.

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Solution

Given number is $x$ .
One- fifth of $x$ $= \frac{1}{5} \times x$
$= \frac{x}{5}$
$7$ less than the given number $= x - 7$
According to the question, one-fifth of a number is $7$ less than that number.
⇒ $\frac{x}{5} = 7 - x$
Thus, $\frac{x}{5} = 7 - x$ is the required equation.

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