Đáp án:
`x=187/15` hoặc `x=(-137)/15`
Giải thích các bước giải:
`3/2 |x-5/3| - 4/5 =4/3 |x-5/3| + 1`
`-> 3/2 |x-5/3| - 4/3 |x-5/3| = 4/5 + 1`
`-> (3/2 - 4/3) |x-5/3| = 4/5 + 5/5`
`-> (9/6 - 8/6) |x-5/3| = 9/5`
`-> 1/6 |x-5/3| = 9/5`
`-> |x-5/3| =9/5 ÷ 1/6`
`-> |x-5/3| = 54/5`
`->` \(\left[ \begin{array}{l}x-\dfrac{5}{3}=\dfrac{54}{5}\\x-\dfrac{5}{3}=\dfrac{-54}{5}\end{array} \right.\)
`->` \(\left[ \begin{array}{l}x=\dfrac{54}{5}+\dfrac{5}{3}\\x=\dfrac{-54}{5}+\dfrac{5}{3}\end{array} \right.\)
`->` \(\left[ \begin{array}{l}x=\dfrac{187}{15}\\x=\dfrac{-137}{15}\end{array} \right.\)
Vậy `x=187/15` hoặc `x=(-137)/15`