Question

$\frac{-5}{6}x = \frac{3}{4}$

Explanation:

Step1: Isolate x by multiplying both sides by the reciprocal of $-\frac{5}{6}$, which is $-\frac{6}{5}$.

Multiply both sides: $x = \frac{3}{4} \times (-\frac{6}{5})$

Step2: Simplify the right-hand side.

Multiply numerators and denominators: $x = \frac{3 \times (-6)}{4 \times 5} = \frac{-18}{20}$
Simplify the fraction: $x = -\frac{9}{10}$

Answer:

$x = -\frac{9}{10}$