Х-1/4х=153

To solve the equation \( \frac{x-1}{4x} = 153 \), we can start by multiplying both sides by \(4x\) to get rid of the fraction:

\( 4x \times \frac{x-1}{4x} = 4x \times 153 \)
\( x-1 = 612x \)

Next, we can simplify the equation:
\( x = 612x + 1 \)
\( x - 612x = 1 \)
\( -611x = 1 \)
\( x = -\frac{1}{611} \)

Therefore, the solution to the equation is \( x = -\frac{1}{611} \).