1) \(\dfrac{15}{4}-2,5:\left|\dfrac{3}{4}x+\dfrac{1}{2}\right|=3\)
⇒\(\dfrac{5}{2}:\left|\dfrac{3}{4}x+\dfrac{1}{2}\right|=\dfrac{3}{4}\)
⇒\(\left|\dfrac{3}{4}x+\dfrac{1}{2}\right|=\dfrac{10}{3}\)
Xảy ra 2 TH:
TH1:\(\dfrac{3}{4}x+\dfrac{1}{2}=\dfrac{10}{3}\)⇒\(x=\dfrac{39}{4}\)
TH2:\(\dfrac{3}{4}x+\dfrac{1}{2}=-\dfrac{10}{3}\)⇒\(x=-\dfrac{46}{9}\)