Question

how many solutions are there to the equation below?
$8(x - 3) = 8x - 24$
a. infinitely many solutions
b. no solution
c. one solution

Explanation:

Step1: Expand left-hand side

$8(x-3) = 8x - 24$

Step2: Compare both sides

$8x - 24 = 8x - 24$

Step3: Simplify the equation

Subtract $8x$ from both sides: $-24 = -24$
This is a true statement for all real values of $x$, so there are infinitely many solutions.

Answer:

A. Infinitely many solutions