a) \(x+\dfrac{1}{2}=\dfrac{7}{3}\)
\(\Rightarrow x=\dfrac{7}{3}-\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{11}{6}\)
b) \(\dfrac{2}{5}x-\dfrac{1}{5}=-0,6\)
\(\Rightarrow\dfrac{2}{5}x=-0,6+\dfrac{1}{5}\)
\(\Rightarrow\dfrac{2}{5}x=-0,4\)
\(\Rightarrow x=-0,4:\dfrac{2}{5}\)
\(\Rightarrow x=-1\)
c) \(\left(0,5x-\dfrac{3}{7}\right):\dfrac{1}{2}=1\dfrac{1}{7}\)
\(\Rightarrow\left(0,5x-\dfrac{3}{7}\right):\dfrac{1}{2}=\dfrac{8}{7}\)
\(\Rightarrow0,5x-\dfrac{3}{7}=\dfrac{8}{7}\cdot\dfrac{1}{2}\)
\(\Rightarrow0,5x-\dfrac{3}{7}=\dfrac{4}{7}\)
\(\Rightarrow0,5x=\dfrac{4}{7}+\dfrac{3}{7}\)
\(\Rightarrow0,5x=1\)
\(\Rightarrow x=2\)
d) \(\dfrac{2}{3}x-\dfrac{2}{5}=\dfrac{1}{2}x-\dfrac{1}{3}\)
\(\Rightarrow\dfrac{2}{3}x-\dfrac{1}{2}x=-\dfrac{1}{3}+\dfrac{2}{5}\)
\(\Rightarrow\dfrac{1}{6}x=\dfrac{1}{15}\)
\(\Rightarrow x=\dfrac{1}{15}\cdot6\)
\(\Rightarrow x=\dfrac{2}{5}\)
