Question

choose an action to perform.
ways to rewrite expressions
combine like terms
perform multiplication
rewrite fractions
distribute
rewrite division as multiplication
rewrite signs
equation transformations
add to both sides
subtract from both sides
multiply both sides
divide both sides
\\(\frac{5}{-6} = x + \frac{8}{6}\\)

Explanation:

Step1: Simplify left-hand fraction

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

Step2: Isolate $x$ via subtraction

Subtract $\frac{8}{6}$ from both sides:
$-\frac{5}{6} - \frac{8}{6} = x$

Step3: Combine the fractions

$x = \frac{-5 - 8}{6}$

Step4: Calculate numerator value

$x = \frac{-13}{6}$

Answer:

$x = -\frac{13}{6}$