c: \(\Leftrightarrow\left|x+\dfrac{4}{5}\right|=\dfrac{1}{7}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{4}{5}=\dfrac{1}{7}\\x+\dfrac{4}{5}=-\dfrac{1}{7}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{23}{35}\\x=-\dfrac{33}{35}\end{matrix}\right.\)
a) \(\Leftrightarrow x=3:\left(6:5\right)\\ \Leftrightarrow x=\dfrac{5}{2}\)
b) \(\Leftrightarrow\dfrac{7}{4}x+\dfrac{3}{2}=-\dfrac{4}{5}\\ \Leftrightarrow\dfrac{7}{4}x=-\dfrac{23}{10}\\ \Leftrightarrow x=-\dfrac{46}{35}\)
c) \(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{4}{5}=-\dfrac{1}{7}\\x+\dfrac{4}{5}=\dfrac{1}{7}\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{33}{35}\\x=-\dfrac{23}{35}\end{matrix}\right.\)
d) \(\Leftrightarrow2.2^{x+1}=2^6\\ \Leftrightarrow2^{x+2}=2^6\\ \Leftrightarrow x+2=6\\ \Leftrightarrow x=4\)
