c) \(\dfrac{1}{3}\cdot x-\dfrac{5}{2}=-3\)
\(\dfrac{1}{3}\cdot x=\left(-3\right)+\dfrac{5}{2}\)
\(\dfrac{1}{3}\cdot x=-\dfrac{1}{2}\)
\(x=-\dfrac{1}{2}\div\dfrac{1}{3}\)
\(x=-\dfrac{3}{2}\)
d) \(\dfrac{3}{2}\cdot x-\dfrac{7}{6}=\dfrac{5}{2}\)
\(\dfrac{3}{2}\cdot x=\dfrac{5}{2}+\dfrac{7}{6}\)
\(\dfrac{3}{2}\cdot x=\dfrac{11}{3}\)
\(x=\dfrac{11}{3}\div\dfrac{3}{2}\)
\(x=\dfrac{22}{9}\)
e) \(x-\dfrac{3}{4}=-\dfrac{1}{2}\)
\(x=-\dfrac{1}{2}+\dfrac{3}{4}\)
\(x=\dfrac{1}{4}\)
f) \(\dfrac{3}{4}+\dfrac{1}{4}\div x=-2\)
\(\dfrac{1}{4}\div x=\left(-2\right)-\dfrac{3}{4}\)
\(\dfrac{1}{4}\div x=-\dfrac{11}{4}\)
\(x=\dfrac{1}{4}\div\left(-\dfrac{11}{4}\right)\)
\(x=-\dfrac{1}{11}\)