how to solve -3x+5<= 23

To solve the inequality -3x + 5 ≤ 23, follow these steps:

Step 1: Subtract 5 from both sides of the inequality to isolate the term with x:
-3x ≤ 23 - 5
-3x ≤ 18

Step 2: Divide both sides of the inequality by -3. Note that when dividing by a negative number, the direction of the inequality sign should be reversed:
x ≥ 18 / (-3)
x ≥ -6

So the solution to the inequality is x ≥ -6.