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a)\(\dfrac{2}{3}x-\dfrac{5}{6}=1\dfrac{1}{4}\)
\(\dfrac{2}{3}x-\dfrac{5}{6}=\dfrac{5}{4}\)
\(\dfrac{2}{3}x=\dfrac{5}{4}+\dfrac{5}{6}\)
\(\dfrac{2}{3}x=\dfrac{25}{12}\)
\(x=\dfrac{25}{12}:\dfrac{2}{3}\)
=>\(x=\dfrac{25}{8}\)
a) \(\dfrac{2}{3}x-\dfrac{5}{6}=1\dfrac{1}{4}\) b) \(2\dfrac{1}{3}-\dfrac{4}{5}:x=0,2\)
\(\dfrac{2}{3}x-\dfrac{5}{6}=\dfrac{5}{4}\) \(\dfrac{7}{3}-\dfrac{4}{5}:x=\dfrac{1}{5}\)
\(\dfrac{2}{3}x=\dfrac{5}{4}-\dfrac{5}{6}\) \(\dfrac{4}{5}:x=\dfrac{7}{3}-\dfrac{1}{5}\)
\(\dfrac{2}{3}x=\dfrac{30}{24}-\dfrac{20}{24}\) \(\dfrac{4}{5}:x=\dfrac{35}{15}-\dfrac{3}{15}\)
\(\dfrac{2}{3}x=\dfrac{5}{12}\) \(\dfrac{4}{5}:x=\dfrac{32}{15}\)
\(x=\dfrac{5}{12}:\dfrac{2}{3}\) \(x=\dfrac{4}{5}:\dfrac{32}{15}\)
\(x=\dfrac{5}{12}:\dfrac{8}{12}\) \(x=\dfrac{4}{5}.\dfrac{15}{32}\)
\(x=\dfrac{5}{12}.\dfrac{12}{8}=\dfrac{5}{8}\) \(x=\dfrac{4.15}{5.32}\)
\(x=\dfrac{1.3}{1.8}=\dfrac{3}{8}\)
d)\(\left(\dfrac{4}{3}-\dfrac{1}{4}x\right)^3=\dfrac{-8}{27}\)
\(\left(\dfrac{4}{3}-\dfrac{1}{4}x\right)^3=\left(\dfrac{-2}{3}\right)^3\)
\(\Rightarrow\dfrac{4}{3}-\dfrac{1}{4}x=\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{1}{4}x=\dfrac{4}{3}-\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{1}{4}x=2\)
\(\Rightarrow x=2:\dfrac{1}{4}\)
\(\Rightarrow x=2.4=8\)

câu 1:
x-1/3=-35/84
x=-35/84+1/3
x=-7//84
câu 2:chú thích:phân số 1/5 ở dòng 2 là từ 0,2 đổi sang
3/4+1/4x=0,2
1/4x=1/5-3/4
1/4x=-11/20
x=-11/20:1/4
x=-44/20
mik chỉ đủ thời gian làm 2 câu thôi,BYE BYE!

\(a,\frac{23}{15}-\frac{2}{3}x=0,2\)
\(\frac{2}{3}x=\frac{4}{3}\)
\(x=2\)
\(b,\frac{x}{3}=\frac{2}{3}+\left(\frac{-1}{7}\right)\)
\(\Rightarrow\frac{x}{3}=\frac{11}{21}\)
\(\Rightarrow x.21=3.11\)
\(\Rightarrow21x=33\)
\(\Rightarrow x=\frac{11}{7}\)
a. \(\frac{23}{15}-\frac{2}{3}x=0,2\)
\(\frac{23}{15}-\frac{2}{3}x=\frac{1}{5}\)
\(\frac{2}{3}x=\frac{23}{15}-\frac{1}{5}\)
\(\frac{2}{3}x=\frac{4}{3}\)
\(x=\frac{4}{3}:\frac{2}{3}\)
\(x=2\)
Vậy \(x=2\)
b. \(\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}\)
\(\frac{x}{3}=\frac{11}{21}\)
\(\frac{7x}{21}=\frac{11}{21}\)
\(\Rightarrow7x=11\)
\(x=11:7\)
\(x=\frac{11}{7}\)
Vậy\(x=\frac{11}{7}\)

Bài làm:
\(7\left|\frac{3}{5}x-40\%\right|-\frac{3}{5}:\frac{1}{2}=0,2\)
\(\Leftrightarrow7\left|\frac{3}{5}x-\frac{2}{5}\right|-\frac{3}{5}.2=\frac{1}{5}\)
\(\Leftrightarrow7\left|\frac{3}{5}x-\frac{2}{5}\right|=\frac{1}{5}+\frac{6}{5}\)
\(\Leftrightarrow\frac{7}{5}\left|3x-2\right|=\frac{7}{5}\)
\(\Leftrightarrow\left|3x-2\right|=1\)
\(\Leftrightarrow\orbr{\begin{cases}3x-2=1\\3x-2=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}3x=3\\3x=1\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1\\x=\frac{1}{3}\end{cases}}}\)
Vậy \(x=1\)hoặc \(x=\frac{1}{3}\)
Học tốt!!!!
1/5.x-1/3=3/2
x-1/3=3/2:1/5=3/2.5/1
x-1/3=15/2
x=15/2+1/=45/6+2/6
x=47/6