a.
\(\dfrac{4}{15}:x=\dfrac{1}{2}\)
\(x=\dfrac{4}{15}:\dfrac{1}{2}\)
\(x=\dfrac{8}{15}\)
b.
\(\dfrac{3}{5}x-\dfrac{1}{2}=\dfrac{1}{7}\)
\(\dfrac{3}{5}x=\dfrac{1}{2}+\dfrac{1}{7}\)
\(\dfrac{3}{5}x=\dfrac{9}{14}\)
\(x=\dfrac{9}{14}:\dfrac{3}{5}\)
\(x=\dfrac{15}{14}\)
c.
\(\dfrac{2}{3}+\dfrac{3}{4}x=-\dfrac{5}{6}\)
\(\dfrac{3}{4}x=-\dfrac{5}{6}-\dfrac{2}{3}\)
\(\dfrac{3}{4}x=-\dfrac{3}{2}\)
\(x=-\dfrac{3}{2}:\dfrac{3}{4}\)
\(x=-2\)
d.
\(\dfrac{3}{4}\left(x+\dfrac{2}{3}\right)=1\dfrac{1}{3}\)
\(\dfrac{3}{4}\left(x+\dfrac{2}{3}\right)=\dfrac{4}{3}\)
\(x+\dfrac{2}{3}=\dfrac{4}{3}:\dfrac{3}{4}\)
\(x+\dfrac{2}{3}=\dfrac{16}{9}\)
\(x=\dfrac{16}{9}-\dfrac{2}{3}\)
\(x=\dfrac{10}{9}\)
