Answer
$[2,∞ )$
Work Step by Step
Distribute the left side. Then subtract $15$ and $3x$ on both sides and divide. Flip the sign since both sides are being divided by a negative number.
$5(3-x)\leq3x-1$
$15-5x\leq3x-1$
$-8x\leq-16$
$x\geq2$
$[2,∞ )$