#### Answer

Algebraic expression translation:
$8x-(3x+6)$
Simplified form:
$5x-6$

#### Work Step by Step

Let $x$ = the unknown number
Eight times a number:
$8x$
Six more than three times the number:
$3x+6$
The difference between eight times a number and six more than three times the number:
$8x - (3x+6)$
Simplifying gives:
$=8x-(3x+6)
\\=8x-3x-6
\\=5x-6$