\(\left|\frac{5}{2}-3x\right|=\left|-2,5x-1,2\right|\)
\(\Rightarrow\left|\frac{5}{2}-3x\right|-\left|-2,5x-1,2\right|=0\)
\(\Rightarrow\left(\frac{5}{2}-3x\right)-\left(-2,5x-1,2\right)=0\)
\(\Rightarrow\frac{5}{2}-3x+2,5x+1,2=0\)
\(\Rightarrow\left(\frac{5}{2}+1,2\right)+\left(-3x+2,5x\right)=0\)
\(\Rightarrow\frac{37}{10}-0,5x=0\)
\(\Rightarrow0,5x=\frac{37}{10}\)
\(\Rightarrow x=\frac{37}{5}\)