Solve for x: 3(x – 1) ≤ 2 (x – 3)

Explanation

Step 1: Expand both sides
3(x – 1) ≤ 2(x – 3)
3x – 3 ≤ 2x – 6

Step 2: Collect x terms on left side
3x – 2x ≤ -6 + 3
x ≤ -3

Step 3: Verify with test value
Try x = -3: 3(-3 – 1) = 3(-4) = -12
2(-3 – 3) = 2(-6) = -12
-12 ≤ -12 ✓

Step 4: Try x = -4 (should work)
3(-4 – 1) = 3(-5) = -15
2(-4 – 3) = 2(-7) = -14
-15 ≤ -14 ✓