Solve −2𝑥−8>3𝑥+12−2x−8>3x+12.

Sure, let's solve the inequality step by step:

-2x - 8 > 3x + 12

Step 1: Let's get all the x terms on one side of the inequality by adding 2x to both sides:

-2x + 2x - 8 > 3x + 2x + 12 This simplifies to: -8 > 5x + 12

Step 2: Now, let's get rid of the constant on the right side by subtracting 12 from both sides:

-8 - 12 > 5x + 12 - 12 This simplifies to: -20 > 5x

Step 3: Finally, let's solve for x by dividing both sides by 5:

-20/5 > 5x/5 This simplifies to: -4 > x

So, the solution to the inequality -2x - 8 > 3x + 12 is x < -4.