Question

$5$ times a number is $7$ less than $5$ more than itself. What is the number?

Answer 1

Let the number be ${}^{\prime }{x}^{\prime }$

Now, $5$ times a number $=5\times x$

$5$ more than the number $=x+5$

It is given that 5 times a number is 7 less than 5 more than itself
$5x+7=5+x$

$\Rightarrow 5x-x=5-7$

$\Rightarrow 4x=-2$

$\Rightarrow x=\frac{-2}{4}$

$\Rightarrow x=\frac{-1}{2}$

So, the number is $\frac{-1}{2}.$