Let's solve your inequality step-by-step.
9−4(x+4)≤7+4(5x+7)
Step 1: Simplify both sides of the inequality.
−4x−7≤20x+35
Step 2: Subtract 20x from both sides.
−4x−7−20x≤20x+35−20x
−24x−7≤35
Step 3: Add 7 to both sides.
−24x−7+7≤35+7
−24x≤42
Step 4: Divide both sides by -24.
−24x
−24
≤
42
−24
x≥
−7
4
Answer:
x≥
−7
4