Let's solve your inequality step-by-step.
−12x−0.4>0.2(36.5x+80)−55
Step 1: Simplify both sides of the inequality.
−12x−0.4>7.3x−39
Step 2: Subtract 7.3x from both sides.
−12x−0.4−7.3x>7.3x−39−7.3x
−19.3x−0.4>−39
Step 3: Add 0.4 to both sides.
−19.3x−0.4+0.4>−39+0.4
−19.3x>−38.6
Step 4: Divide both sides by -19.3.
−19.3x
−19.3
>
−38.6
−19.3
x<2
Answer:
x<2