Solve for x 42/x+9=11

$\frac{42}{x} + 9 = 11$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Subtract $9$ from both sides of the equation.

$\frac{42}{x} = 11 - 9$

Subtract $9$ from $11$ .

$\frac{42}{x} = 2$

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 $\frac{42}{x} = 2$ by $x$ to eliminate the fractions.

Multiply each term in $\frac{42}{x} = 2$ by $x$ .

$\frac{42}{x} x = 2 x$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{42}{x} x = 2 x$

Rewrite the expression.

$42 = 2 x$

Step 4

Solve the equation.

Rewrite the equation as $2 x = 42$ .

$2 x = 42$

Divide each term in $2 x = 42$ by $2$ and simplify.

Divide each term in $2 x = 42$ by $2$ .

$\frac{2 x}{2} = \frac{42}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{42}{2}$

Divide $x$ by $1$ .

$x = \frac{42}{2}$

Simplify the right side.

Divide $42$ by $2$ .

$x = 21$