Solve for x 6=-5/6x

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

Rewrite the equation as $- \frac{5}{6} x = 6$ .

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

Multiply both sides of the equation by $- \frac{6}{5}$ .

$- \frac{6}{5} (- \frac{5}{6} x) = - \frac{6}{5} \cdot 6$

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{6}{5} (- \frac{5}{6} x)$ .

Combine $x$ and $\frac{5}{6}$ .

$- \frac{6}{5} (- \frac{x \cdot 5}{6}) = - \frac{6}{5} \cdot 6$

Cancel the common factor of $6$ .

Move the leading negative in $- \frac{6}{5}$ into the numerator.

$\frac{- 6}{5} (- \frac{x \cdot 5}{6}) = - \frac{6}{5} \cdot 6$

Move the leading negative in $- \frac{x \cdot 5}{6}$ into the numerator.

$\frac{- 6}{5} \cdot \frac{- x \cdot 5}{6} = - \frac{6}{5} \cdot 6$

Factor $6$ out of $- 6$ .

$\frac{6 (- 1)}{5} \cdot \frac{- x \cdot 5}{6} = - \frac{6}{5} \cdot 6$

Cancel the common factor.

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

Rewrite the expression.

$\frac{- 1}{5} (- x \cdot 5) = - \frac{6}{5} \cdot 6$

Cancel the common factor of $5$ .

Factor $5$ out of $- x \cdot 5$ .

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{6}{5} \cdot 6$

Cancel the common factor.

$\frac{- 1}{5} (5 \cdot (- x)) = - \frac{6}{5} \cdot 6$

Rewrite the expression.

$- - x = - \frac{6}{5} \cdot 6$

Multiply.

Multiply $- 1$ by $- 1$ .

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

Multiply $x$ by $1$ .

$x = - \frac{6}{5} \cdot 6$

Simplify the right side.

Simplify $- \frac{6}{5} \cdot 6$ .

Multiply $- \frac{6}{5} \cdot 6$ .

Multiply $6$ by $- 1$ .

$x = - 6 (\frac{6}{5})$

Combine $- 6$ and $\frac{6}{5}$ .

$x = \frac{- 6 \cdot 6}{5}$

Multiply $- 6$ by $6$ .

$x = \frac{- 36}{5}$

Move the negative in front of the fraction.

$x = - \frac{36}{5}$

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{36}{5}$

Decimal Form:

$x = - 7.2$

Mixed Number Form:

$x = - 7 \frac{1}{5}$

Solve for x 6=-5/6x

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