Answer
$8+5(x-1)$,
simplifies to $\quad 5x+3$
Work Step by Step
"eight increased by"$\quad\rightarrow 8+...$
" the product of 5 and ..."$\quad\rightarrow 5\cdot(...)$
"one less than a number"$\quad\rightarrow (x-1)$
the expression translates to$:\qquad 8+5(x-1)$
Using the distributive property,
$8+5(x-1)=8+5x-5\cdot 1$
$=8+5x-5$
... group like terms (8 and 5x can change places)
$=5x+(8-5)$
= $5x+3$
