Solve the equation x+12+2x=20+3x-8.

Describe the number of solution (s) using words. (one solution, no solution, or infinitely many.

Infinitely many.

Step-by-step explanation:

Combine like terms as shown below

x + 12 + 2x = 20 + 3x - 8

Side one

x + 2x = 3x

Side two

20 - 8 = 12

Set the equation up again

3x + 12 = 3x + 12

The equation is the same on both sides which means that the equation cancels itself out.

3x - 3x = 0 and 12 - 12 = 0

0 = 0 so there is infinitely many solutions because both sides equal the same thing.