Question

How many solutions are there to the equation below?

8(x-3)=8x-24

a=0
b=1
c= infidelity many

Answer 1

8(x-3)=8x-24
8x-24=8x-24
8x=8x
x=x
Since x just has to equal itself and not a specific number, there are C, infinitely many solutions to this equation.

Answer 2

infinitely many solutions.

Explanation:

The given equation is 8(x-3)=8x-24

Distribute 8 over the parenthesis in the left hand side

8x-24 = 8x-24

Group the like terms

8x-8x=-24+24

Combine like term

0 = 0

We got a true result, 0 = 0.

Hence, the equations have infinitely many solutions.