Answer
$x\geq2.5$
Work Step by Step
We are given that $-(x-3)+2\leq3(2x-5)+x$
We can simplify both sides by using the distributive property.
$3-x+2\leq6x-15+x$
Now we combine like terms.
$5-x\leq7x-15$
Add 15 to both sides.
$20-x\leq7x$
Add x to both sides.
$20\leq8x$
Divide both sides by 8.
$x\geq\frac{20}{8}$