Question

Which equation has the solution x, equals, 8x=8?

Answer 1

To find the equation that has the solution \( x = 8 \), we can start from this solution and manipulate it into a general form.

The simplest way to form an equation that yields \( x = 8 \) is to isolate \( x \). One way is:

\[
x - 8 = 0
\]

This can be rearranged to:

\[
x = 8
\]

From your question, you mentioned the equation \( 8x = 8 \). Let's solve \( 8x = 8 \) to check if it has \( x = 8 \) as a solution:

\[
8x = 8
\]

Dividing both sides by 8 gives:

\[
x = 1
\]

Thus, the equation \( 8x = 8 \) has the solution \( x = 1 \), not \( x = 8 \).

To specify an equation that does have \( x = 8 \) as a solution, we could consider:

1. \( x - 8 = 0 \)
2. \( 2x - 16 = 0 \)
3. \( 3x - 24 = 0 \)
4. \( 4x + 8 = 40 \)

Any of these equations can be simplified to result in \( x = 8 \).

If you specifically want an equation that closely resembles your original form but has the solution \( x = 8 \), you could write:

\[
x - 8 = 0
\]

or substitute into alternate forms leading to \( x = 8 \), like \( 2(x - 8) = 0 \), keeping the balance mathematically correct.