a, \(\dfrac{15}{4}\) - 2,5 : |\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3
3,75 - 2,5:|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3
2,5:|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 3,75 - 3
2,5 : |\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 0,75
|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = 2,5 : 0,75
|\(\dfrac{3}{4}\)\(x\) + \(\dfrac{1}{2}\)| = \(\dfrac{10}{3}\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x+\dfrac{1}{2}=-\dfrac{10}{3}\\\dfrac{3}{4}x+\dfrac{1}{2}=\dfrac{10}{3}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=-\dfrac{10}{3}-\dfrac{1}{2}\\\dfrac{3}{4}x=\dfrac{10}{3}-\dfrac{1}{2}\end{matrix}\right.\)
\(\left[{}\begin{matrix}\dfrac{3}{4}x=-\dfrac{26}{3}\\\dfrac{3}{4}x=\dfrac{17}{6}\end{matrix}\right.\)
\(\left[{}\begin{matrix}x=-\dfrac{46}{9}\\x=\dfrac{34}{9}\end{matrix}\right.\)