(2x/5-1) : -5 = 1/7
<=> 2x/4 : -5/1 = 1/7
<=> 2x/4 = 1/7 . -5/1
<=>2x/4 = -5/7
<=>-5.4=2x.7
<=>-20=2x.7
<=> 2x=-20/7
<=> x=-10/7
\((\frac{2x}{5}-1):\left(-5\right)=\frac{1}{7}\)
\(\frac{2x}{5}-1=\frac{1}{7}\cdot\left(-5\right)\)
\(\frac{2x}{5}-1=\frac{-5}{7}\)
\(\frac{2x}{5}=\frac{-5}{7}+1\)
\(\frac{2x}{5}=\frac{2}{7}\)
\(\Rightarrow2x\cdot7=2\cdot5\)
\(2x\cdot7=10\)
\(2x=\frac{10}{7}\)
\(x=\frac{10}{7}:2\)
\(x=\frac{10}{7}\cdot\frac{1}{2}\)
\(x=\frac{10}{14}=\frac{5}{7}\)