# Four less than the product of a number and 8 is twice the sum of the number and 10. What is the number?

Apr 12, 2018

$x = 4$

#### Explanation:

Four less than the product of a number and $8$:

$8 x - 4$

is twice the sum of the number and $10$, so

$8 x - 4 = 2 \left(x + 10\right)$

Simplify.

$8 x - 4 = 2 x + 20$

Add $4$ to both sides, which is

$8 x = 2 x + 24$

Subtract $2 x$ from both sides:

$6 x = 24$

Divide $6$ from both sides to isolate the $x$

$x = 4$