Solve for x 1/x-1=0

$\frac{1}{x} - 1 = 0$

Step 1

Add $1$ to both sides of the equation.

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

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x, 1$

The LCM of one and any expression is the expression.

$x$

Step 3

Multiply each term in $\frac{1}{x} = 1$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{1}{x} = 1$ by $x$ .

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$1 = 1 x$

Simplify the right side.

Multiply $x$ by $1$ .

$1 = x$

Step 4

Rewrite the equation as $x = 1$ .

$x = 1$