\(\left|x+\dfrac{3}{7}\right|-3,175=\left|-1,825\right|\)
\(\Leftrightarrow\left|x+\dfrac{3}{7}\right|-3,175=1,825\)
\(\Leftrightarrow\left|x+\dfrac{3}{7}\right|=1,825+3,175\)
\(\Leftrightarrow\left|x+\dfrac{3}{7}\right|=5\)
Xét trường hợp 1: \(x+\dfrac{3}{7}=5\)
\(\Rightarrow x=5-\dfrac{3}{7}\)
\(\Rightarrow x=\dfrac{35}{7}-\dfrac{3}{7}\)
\(\Rightarrow x=\dfrac{35-3}{7}\)
\(\Rightarrow x=\dfrac{32}{7}\)
Xét trường hợp 2: \(x+\dfrac{3}{7}=-5\)
\(\Rightarrow x=-5-\dfrac{3}{7}\)
\(\Rightarrow x=-\left(5+\dfrac{3}{7}\right)\)
\(\Rightarrow x=-\left(\dfrac{35}{7}+\dfrac{3}{7}\right)\)
\(\Rightarrow x=-\dfrac{35+3}{7}\)
\(\Rightarrow x=-\dfrac{38}{7}\)
\(\Rightarrow x=-\dfrac{38}{7}\)
Vậy \(x=\dfrac{32}{7}\) hoặc \(x=-\dfrac{38}{7}\)
