#### Answer

$x=6$

#### Work Step by Step

Because we are told that $y_{1}=y_{2}$, we may set the two equations equal to one another and solve:
$5(2x-8)-2=5(x-3)+3$
$10x-40-2=5x-15+3$
$10x-42=5x-12$
$5x=30$
$x=6$
The two equations describe a pair of intersecting lines. Therefore, there is only a single solution.