a)\(\frac{1}{3}+\frac{2}{3}x=\frac{1}{4}\)
\(\Rightarrow\frac{2}{3}x=\frac{1}{4}-\frac{1}{3}\)
\(\Rightarrow\frac{2}{3}x=-\frac{1}{12}\)
\(\Rightarrow x=-\frac{1}{12}:\frac{2}{3}\)
\(\Rightarrow x=-\frac{1}{8}\)
b)\(\left|3x+1\right|-17=-12\)
\(\Rightarrow\left|3x+1\right|=5\)
\(\Rightarrow\orbr{\begin{cases}3x+1=5\\3x+1=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=4\\3x=-6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=-2\end{cases}}\)
a, 1/3 \(+\)2/3 x \(=\)1/4
\(\Rightarrow\)2/3x \(=\)1/4 \(-\)1/3
\(\Rightarrow\)2/3 x \(=\)\(\frac{-1}{12}\)
\(\Rightarrow\)x \(=\)\(\frac{-1}{12}\)\(\div\)\(\frac{2}{3}\)
\(\Rightarrow\)x \(=\)\(\frac{-1}{12}\)\(\times\)\(\frac{2}{3}\)
\(\Rightarrow\)x \(=\)\(\frac{-1}{18}\)
b, \(|\)3x \(+\)1\(|\)\(-\)17 \(=\)-12
\(\Rightarrow\)\(|\)3x \(+\)1\(|\)\(=\)-12 \(+\)17
\(\Rightarrow\)\(|\)3x \(+\)1\(|\)\(=\)5
\(\Rightarrow\)3x \(+\)1 \(=\)5 ; 3x \(+\)1\(=\)-5
\(\Rightarrow\)3x \(=\)5 \(-\)1 ; 3x \(=\)-5 \(-\)1
\(\Rightarrow\)3x \(=\)4 ; 3x \(=\)-6
\(\Rightarrow\)x \(=\)4 : 3 ; x \(=\)-6 : 3
\(\Rightarrow\)x \(=\)\(\frac{4}{3}\); x \(=\)-2
