0,2:1 1/5 = 2/3 : (6x + 7)
0,2:6/5 = 2/3 : (6x+7)
1/6 = 2/3 : (6x + 7 )
6x + 7 = 2/3 : 1/6
6x + 7 = 4
6x = 4 - 7 = - 3
x = -3 : 6
x = -1/2
\(0,2:1\frac{1}{5}=\frac{2}{3}:\left(6x+7\right)\)
\(\Leftrightarrow0,2\times\frac{5}{6}=\frac{2}{3}\times\frac{1}{6x+7}\)
\(\Leftrightarrow\frac{1}{6}:\frac{2}{3}=\frac{1}{6x+7}\)
\(\Leftrightarrow\frac{1}{4}=\frac{1}{6x+7}\)
\(\Leftrightarrow6x+7=4\)
\(\Leftrightarrow6x=-3\)
\(\Rightarrow x=-\frac{1}{2}\)