How do you translate the following statement "The product of five less than a number and two is six" into an algebraic expression and then find the number?

$x = 8 \text{ }$the required number

Explanation:

Let $x$ be the number
"Product of five less than a number and two is six"
$2 \left(x - 5\right) = 6$

Solution

$2 \left(x - 5\right) = 6$

$\frac{2 \left(x - 5\right)}{2} = \frac{6}{2}$

$\frac{\cancel{2} \left(x - 5\right)}{\cancel{2}} = \frac{6}{2}$

$x - 5 = 3$

$x = 3 + 5$

$x = 8$

God bless....I hope the explanation is useful.