Lời giải:
a.
\(\frac{1}{4}-7x=\frac{-1}{3}\)
$\Leftrightarrow 7x=\frac{1}{4}-\frac{-1}{3}=\frac{7}{12}$
$\Leftrightarrow x=\frac{7}{12}:7=\frac{1}{12}$
b.
\(|\frac{1}{3}x-2|=\frac{-1}{3}+\frac{2}{5}=\frac{1}{15}\)
\(\Rightarrow \left[\begin{matrix} \frac{1}{3}x-2=\frac{1}{15}\\ \frac{1}{3}x-2=\frac{-1}{15}\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=\frac{31}{5}\\ x=\frac{29}{5}\end{matrix}\right.\)
c.
$3^{x+2}+4.3^{x+1}=7.3^6$
$3^{x+1}(3+4)=7.3^6$
$3^{x+1}.7=7.3^6$
$3^{x+1}=3^6$
$x+1=6$
$x=5$