Answer
x $\geq$ 1
Work Step by Step
2(x - 3) - 5 $\leq$ 3(x + 2) - 18
Distribute:
2x - 6 - 5 $\leq$ 3x + 6 - 18
Combine like terms:
2x - 11 $\leq$ 3x - 12
Subtract 3x from both sides:
-x - 11 $\leq$ -12
Add 11 to both sides:
-x $\leq$ -1
Divide both sides by -1 and change the sign:
x $\geq$ 1