Solve for x 2-8/x=26

$2 - \frac{8}{x} = 26$

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

Subtract $2$ from both sides of the equation.

$- \frac{8}{x} = 26 - 2$

Subtract $2$ from $26$ .

$- \frac{8}{x} = 24$

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.

$x$

Multiply each term in $- \frac{8}{x} = 24$ by $x$ to eliminate the fractions.

Multiply each term in $- \frac{8}{x} = 24$ by $x$ .

$- \frac{8}{x} x = 24 x$

Simplify the left side.

Cancel the common factor of $x$ .

Move the leading negative in $- \frac{8}{x}$ into the numerator.

$\frac{- 8}{x} x = 24 x$

Cancel the common factor.

$\frac{- 8}{x} x = 24 x$

Rewrite the expression.

$- 8 = 24 x$

Solve the equation.

Rewrite the equation as $24 x = - 8$ .

$24 x = - 8$

Divide each term in $24 x = - 8$ by $24$ and simplify.

Divide each term in $24 x = - 8$ by $24$ .

$\frac{24 x}{24} = \frac{- 8}{24}$

Simplify the left side.

Cancel the common factor of $24$ .

Cancel the common factor.

$\frac{24 x}{24} = \frac{- 8}{24}$

Divide $x$ by $1$ .

$x = \frac{- 8}{24}$

Simplify the right side.

Cancel the common factor of $- 8$ and $24$ .

Factor $8$ out of $- 8$ .

$x = \frac{8 (- 1)}{24}$

Cancel the common factors.

Factor $8$ out of $24$ .

$x = \frac{8 \cdot - 1}{8 \cdot 3}$

Cancel the common factor.

$x = \frac{8 \cdot - 1}{8 \cdot 3}$

Rewrite the expression.

$x = \frac{- 1}{3}$

Move the negative in front of the fraction.

$x = - \frac{1}{3}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{3}$

Decimal Form:

$x = - 0.\overline{3}$

Solve for x 2-8/x=26

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