a.

\(\frac{4}{7}x-\frac{2}{3}=\frac{1}{5}\)

\(\frac{4}{7}x=\frac{1}{5}+\frac{2}{3}\)

\(\frac{4}{7}x=\frac{3+10}{15}\)

\(\frac{4}{7}x=\frac{13}{15}\)

\(x=\frac{13}{15}\div\frac{4}{7}\)

\(x=\frac{13}{15}\times\frac{7}{4}\)

\(x=\frac{91}{60}\)

b.

\(\frac{2}{9}+\frac{7}{8}x=\frac{1}{3}\)

\(\frac{7}{8}x=\frac{1}{3}-\frac{2}{9}\)

\(\frac{7}{8}x=\frac{3-2}{9}\)

\(\frac{7}{8}x=\frac{1}{9}\)

\(x=\frac{1}{9}\div\frac{7}{8}\)

\(x=\frac{1}{9}\times\frac{8}{7}\)

\(x=\frac{8}{63}\)

Chúc bạn học tốt

b) \(\frac{2}{9}+\frac{7}{8}.x=\frac{1}{3}\)

\(\frac{1}{3}-\frac{2}{9}=\frac{7}{8}.x\)

\(\frac{7}{8}.x=\frac{1}{9}\)

\(x=\frac{1}{9}:\frac{7}{8}\)

\(x=\frac{8}{63}\)

c) \(\frac{4}{5}+\frac{5}{7}:x=\frac{1}{3}\)

\(\frac{5}{7}:x=\frac{1}{3}-\frac{4}{5}\)

\(\frac{5}{7}:x=\frac{-7}{15}\)

\(x=\frac{5}{7}:\frac{-7}{15}\)

\(x=\frac{75}{-49}\)

b) \(\frac{2}{9}+\frac{7}{8}x=\frac{1}{3}\)

\(\frac{7}{8}x=\frac{1}{3}-\frac{2}{9}=\frac{1}{9}\)

\(x=\frac{1}{9}:\frac{7}{8}=\frac{8}{63}\)

c) \(\frac{4}{5}+\frac{5}{7}:x=\frac{1}{3}\)

\(\frac{5}{7}:x=\frac{1}{3}-\frac{4}{5}=-\frac{7}{15}\)

\(x=\frac{5}{7}:\left(-\frac{7}{15}\right)=-\frac{75}{49}\)

c) pt <=> \(x-\frac{21}{5}=\frac{23}{7}< =>x=\frac{23}{7}+\frac{21}{5}=\frac{262}{35}\)

vậy x = \(\frac{262}{35}\) 

d) \(x-\frac{3}{4}=\frac{51}{8}< =>x=\frac{51}{8}+\frac{3}{4}=\frac{57}{8}\) 

vậy x = \(\frac{57}{8}\) 

e) pt <=> \(\frac{7}{8}:x=\frac{7}{2}< =>\frac{7}{8}.\frac{1}{x}=\frac{7}{2}< =>\frac{7}{8x}=\frac{7}{2}< =>56x=14< =>x=\frac{14}{56}=\frac{1}{4}\)

vậy x = \(\frac{1}{4}\)

a) pt <=> \(x+\frac{11}{4}=\frac{17}{3}< =>x=\frac{17}{3}-\frac{11}{4}=\frac{35}{12}\)

vậy x = \(\frac{35}{12}\)

b) pt <=> \(\frac{x.7}{2}=\frac{19}{4}< =>x=\frac{19.2}{4.7}=\frac{38}{28}=\frac{19}{14}\)

vậy x = \(\frac{19}{14}\) 

|\(\frac32x\) + \(\frac12\)| = |4\(x\) - 1|

\(\left[\begin{array}{l}\frac32x+\frac12=-4x+1\\ \frac32x+\frac12=4x-1\end{array}\right.\)

\(\left[\begin{array}{l}\frac32x+4x=1-\frac12\\ \frac32x-4x=-1-\frac12\end{array}\right.\)

\(\left[\begin{array}{l}\frac{11}{2}x=\frac12\\ -\frac52x=-\frac32\end{array}\right.\)

\(\left[\begin{array}{l}x=\frac12:\frac{11}{2}\\ x=-\frac32:\frac{-5}{2}\end{array}\right.\)

\(\left[\begin{array}{l}x=\frac12\times\frac{2}{11}\\ x=-\frac32\times\frac{-2}{5}\end{array}\right.\)

\(\left[\begin{array}{l}x=\frac{1}{11}\\ x=\frac35\end{array}\right.\)

Vậy \(x\in\) {\(\frac{1}{11};\frac35\)}

|\(\frac54x\) - \(\frac72\)| - |\(\frac58x\) + \(\frac35\)| = 0

|\(\frac54x\) - \(\frac72\)| = |\(\frac58x\) + \(\frac35\)|

\(\left[\begin{array}{l}\frac54x-\frac72=-\frac58x-\frac35\\ \frac54x-\frac72=\frac58x+\frac35\end{array}\right.\)

\(\left[\begin{array}{l}\frac54x+\frac58x=\frac72-\frac35\\ \frac54x-\frac58x=\frac72+\frac35\end{array}\right.\)

\(\left[\begin{array}{l}\frac{15}{8}x=\frac{29}{20}\\ \frac58x=\frac{41}{10}\end{array}\right.\)

\(\left[\begin{array}{l}x=\frac{29}{10}:\frac{15}{8}\\ x=\frac{41}{10}:\frac58\end{array}\right.\)

\(\left[\begin{array}{l}x=\frac{116}{75}\\ x=\frac{164}{25}\end{array}\right.\)

Vậy \(x\in\) {\(\frac{116}{75}\); \(\frac{164}{25}\)}

\(1,\)\(x-\frac{3}{5}=\frac{3}{35}-\frac{-7}{6}\)

        \(x-\frac{3}{5}=\frac{3}{35}+\frac{7}{6}\)

        \(x-\frac{3}{5}=\frac{263}{210}\)

                    \(x=\frac{263}{210}+\frac{3}{5}\)

                    \(x=\frac{389}{210}\)

        VẬY: \(x=\frac{389}{210}\)

1. \(x=\frac{61}{42}\)

2. \(x=\frac{-36}{5}\) 

3. \(x=\frac{13}{11}\)

4. \(x=\frac{1}{12}\)

5.\(x=\frac{-5}{2}\)

a) \(\frac{9}{20}\)                                                   c) \(\frac{-55}{4}\)                                                                                                                                 

b) \(\frac{116}{75}\)                                                d) \(\frac{-76}{45}\)

đúng hết đấy nhé mình tính kĩ lắm ko sai đâu

       chúc may mắn

b) \(\frac{3}{x-5}=\frac{-4}{x+2}\)

=> 3.(x + 2) = (x - 5). (-4)

= 3x + 6 = -4x + 20

= 3x - 4x = 26

=> -x = 26

=> x = -26

c) \(\frac{x}{-2}=\frac{-8}{x}\)

=> x.x = -2 . (-8)

 => x² = 16

=> x = 4

t i c k nha!!! 645646677778879078452352543546456457567564546567

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