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