Question

First, let’s try to isolate the variable x, or get x alone on one side of the equation. One of the x terms is inside the parentheses on the right. So, let’s start by getting rid of the parentheses to make this equation easier to work with. One way to do this is to distribute the 6 to the x and to the 2. You can think of this as (6·x)−(6·2). Rewrite the right side.
6x – 8
=
6(x – 2)

6x – 8
=
−

Answer 1

To rewrite the equation and isolate the variable \( x \), we can distribute the 6 on the right side of the equation:

Starting with:

\[
6x - 8 = 6(x - 2)
\]

Distributing the 6 on the right side gives:

\[
6x - 8 = 6x - 12
\]

Now, the equation looks like this:

\[
6x - 8 = 6x - 12
\]

Next, we can try to isolate the variable \( x \). To do this, let's subtract \( 6x \) from both sides:

\[
(6x - 8) - 6x = (6x - 12) - 6x
\]

This simplifies to:

\[
-8 = -12
\]

This outcome indicates that there is no value of \( x \) that can satisfy the equation because \( -8 \) does not equal \( -12 \). Hence, the equation is contradictory, and it suggests that there are no solutions for \( x \).