Question

if (x-1)/x =20, then x=

Answer 1

Explanation:

The equation is given below as

$\frac{x-1}{x}=20$

Step 1:

Cross multiply

$\begin{gathered} \frac{x-1}{x}=\frac{20}{} \\ x-1=20\times x \\ x-1=20x \end{gathered}$

Step 2:

Collect similar terms, we will have

$\begin{gathered} x-1=20x \\ 20x-x=-1 \\ 19x=-1 \\ divide\text{ both sides by 19} \\ \frac{19x}{19}=-\frac{1}{19} \\ x=-\frac{1}{19} \end{gathered}$

Hence,

The final answer is

$\Rightarrow x=-\frac{1}{19}$