Answer
$x=9$
Work Step by Step
$35-(-3)=3(x-2)+17\rightarrow$ apply the distributive property
$35-(-3)=3x-6+17\rightarrow$simplify
$38=3x+11\rightarrow$ subtract 11 from each side
$38-11=3x+11-11\rightarrow$ simplify
$27=3x\rightarrow$ divide each side by 3
$27\div3=3x\div3\rightarrow$ simplify
$9=x$