a) \(\left|x-1,7\right|+\dfrac{1}{2}=23\)
\(\left|x-1,7\right|=22,5\)
\(\Rightarrow x-1,7=\pm22,5\)
\(\Rightarrow x=\left\{24,2;-20,8\right\}\)
b) \(\left|x+\dfrac{4}{15}\right|-\left|3,75\right|=-\left|2,15\right|\)
\(\left|x+\dfrac{4}{15}\right|-3,75=-2,15\)
\(\left|x+\dfrac{4}{15}\right|=-2,15+3,75\)
\(\left|x+\dfrac{4}{15}\right|=1,6\)
\(\Rightarrow x+\dfrac{4}{15}=\pm1,6\)
\(\Rightarrow x=\left\{\dfrac{4}{3};-\dfrac{28}{15}\right\}\)