Algebra-1

To solve the inequality 4 - 2x < 6x + 12, we need to isolate the variable x on one side of the inequality.

Isolate the variable x:

4 - 2x < 6x + 12

4 - 2x - 6x < 6x + 12 - 6x (subtract 6x from both sides)

4 - 8x < 12

4 - 8x - 4 < 12 - 4 (subtract 4 from both sides)

-8x < 8