Question

Solve for x: 3x-2>5x+10

Answer 1

To solve this inequality, treat the greater than sign like an equal sign.

Start by subtracting 10 from both sides to keep the inequality balanced.
This leaves you with:
3x -12 > 5x

Next, combine your x’s by subtracting 3x on both sides of the inequality.
This gives you:
-12 > 2x

Finally, isolate x by dividing both sides of the inequality by 2. Since we are dividing by a positive integer, there is no need to flip the inequality sign.
This results in:
-6 > x

I hope this helps! :)

Answer 2

Combine like terms:

3x-2>5x+10 becomes -12 > 2x

Dividing both sides by 2, we obtain x < -6