Problem
$-5=-\frac{1}{x-1}$
Solution
Step 1 ：\( -5 = -\frac{1}{x-1} \)
Step 2 ：\( 5 = \frac{1}{x-1} \)
Step 3 ：\( 5(x-1) = 1 \)
Step 4 ：\( 5x - 5 = 1 \)
Step 5 ：\( 5x = 6 \)
Step 6 ：\( x = \boxed{\frac{6}{5}} \)
Step 1 ：\( -5 = -\frac{1}{x-1} \)
Step 2 ：\( 5 = \frac{1}{x-1} \)
Step 3 ：\( 5(x-1) = 1 \)
Step 4 ：\( 5x - 5 = 1 \)
Step 5 ：\( 5x = 6 \)
Step 6 ：\( x = \boxed{\frac{6}{5}} \)
