Solve for x 5/6+1/4x=1/6

$\frac{5}{6} + \frac{1}{4} x = \frac{1}{6}$

Combine $\frac{1}{4}$ and $x$ .

$\frac{5}{6} + \frac{x}{4} = \frac{1}{6}$

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

Subtract $\frac{5}{6}$ from both sides of the equation.

$\frac{x}{4} = \frac{1}{6} - \frac{5}{6}$

Combine the numerators over the common denominator.

$\frac{x}{4} = \frac{1 - 5}{6}$

Subtract $5$ from $1$ .

$\frac{x}{4} = \frac{- 4}{6}$

Cancel the common factor of $- 4$ and $6$ .

Factor $2$ out of $- 4$ .

$\frac{x}{4} = \frac{2 (- 2)}{6}$

Cancel the common factors.

Factor $2$ out of $6$ .

$\frac{x}{4} = \frac{2 \cdot - 2}{2 \cdot 3}$

Cancel the common factor.

$\frac{x}{4} = \frac{2 \cdot - 2}{2 \cdot 3}$

Rewrite the expression.

$\frac{x}{4} = \frac{- 2}{3}$

Move the negative in front of the fraction.

$\frac{x}{4} = - \frac{2}{3}$

Multiply both sides of the equation by $4$ .

$4 \frac{x}{4} = 4 (- \frac{2}{3})$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{x}{4} = 4 (- \frac{2}{3})$

Rewrite the expression.

$x = 4 (- \frac{2}{3})$

Simplify the right side.

Simplify $4 (- \frac{2}{3})$ .

Multiply $4 (- \frac{2}{3})$ .

Multiply $- 1$ by $4$ .

$x = - 4 (\frac{2}{3})$

Combine $- 4$ and $\frac{2}{3}$ .

$x = \frac{- 4 \cdot 2}{3}$

Multiply $- 4$ by $2$ .

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

Move the negative in front of the fraction.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$x = - 2.\overline{6}$

Mixed Number Form:

$x = - 2 \frac{2}{3}$

Solve for x 5/6+1/4x=1/6

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