#### Answer

$8x+2x$,
simplifies to $10x$

#### Work Step by Step

"8 times a number" $\rightarrow 8x$
"twice the number" $\rightarrow 2x$
the sum...$\rightarrow \boxed{8x+2x}$
Combine like terms by combining the coefficients of the terms and keeping the same variable factor.
result:$\qquad 10x$