Question

Solve the equation.
4 left parenthesis 6 x minus 6 right parenthesis equals 8 left parenthesis 3 x plus 2 right parenthesis
Question content area bottom
Part 1
A.
No solution
B.40
40
C.
0
D.
All real numbers

Answer 1

To solve the equation \( 4(6x - 6) = 8(3x + 2) \), we can first expand both sides:

1. Expand the left side:
\[
4(6x - 6) = 24x - 24
\]

2. Expand the right side:
\[
8(3x + 2) = 24x + 16
\]

Now we equate both sides:
\[
24x - 24 = 24x + 16
\]

Next, let's subtract \( 24x \) from both sides:
\[
-24 = 16
\]

This statement is false. It implies that there are no values of \( x \) that can satisfy the original equation.

Thus, the answer is:

**A. No solution**.