Answer
no solution
Work Step by Step
$9+2x\lt7+2(x-3)\longrightarrow$ multiply using the distributive property
$9+2x\lt7+2x-6\longrightarrow$ combine like terms
$9+2x\lt1+2x\longrightarrow$ subtract 2x from each side
$9+2x-2x\lt1+2x-2x\longrightarrow$ subtract
$9\lt1$
Since 9 is not less than one, there is no solution.