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a) \(\left|\frac{3}{2}x+\frac{1}{2}\right|=\left|4x-1\right|\)
\(\Rightarrow\orbr{\begin{cases}\frac{3}{2}x+\frac{1}{2}=4x-1\\\frac{3}{2}x+\frac{1}{2}=-4x+1\end{cases}}\Rightarrow\orbr{\begin{cases}4x-\frac{3}{2}x-1=\frac{1}{2}\\-4x-\frac{3}{2}x+1=\frac{1}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}\frac{5}{2}x=\frac{3}{2}\\-\frac{11}{2}x=-\frac{1}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{3}{5}\\x=\frac{1}{11}\end{cases}}\)
phần b ở đề bài mình ghi sai, là bằng 0 chứ ko phải bằng 10

1) \(5\left|x-3\right|=\frac{5}{7}\)
\(\left|x-3\right|=\frac{5}{7}:5\)
\(\left|x-3\right|=\frac{5}{7}.\frac{1}{5}=\frac{1}{7}\)
+) \(x-3=\frac{1}{7}\)
\(x=\frac{1}{7}+3=\frac{22}{7}\)
+) \(x-3=-\frac{1}{7}\)
\(x=-\frac{1}{7}+3=\frac{20}{7}\)
2 ) 3) tương tự

5) // 3x + 1 / - 5 / = 2
=> / 3x + 1 / -5 = 2 hoặc -2
TH1: / 3x + 1 / - 5 = 2 => / 3x + 1 / = 2 + 5 = 7 => 3x + 1 = 7 hoặc -7
*1: 3x + 1 = -7 => 3x = -7 - 1 = -8 => x = -8/3
*2: 3x + 1 = 7 => 3x = 7 - 1 = 6 => x = 6 : 3 = 2
TH2: / 3x + 1 / - 5 = -2 => / 3x + 1/ = -2 + 5 = 3 => 3x + 1 = 3 hoặc -3
*1: 3x + 1 = 3 => 3x = 3 - 1 = 2 => x = 2/3
*2: 3x + 1 = -3 => 3x = -3 - 1 = -4 => x = -4/3
Vậy x thuộc { -8/3 ; 2 ; 2/3 ; -4/3 }
7) 3/2 + 4/5 /x - 3/4 / = 7/4
=> 4/5 / x - 3/4 / = 7/4 - 4/5
=> 4/5 / x - 3/4 / = 19/20
=> / x - 3/4 / = 19/20 : 4/5
=> / x - 3/4 / = 19/16
=> / x - 3/4 / = 19/16 hoặc -19/16

a, x + 1/3 = 3/4
- > x = 3/4 - 1/3 = 5/12
b, x - 2/5 = 5/4
-> x = 5/4 + 2/5 = 33/20
c, -x - 2/3 = 6/7
-> -x = 6/7 + 2/3 = 32/21
-> x = -32/21
d, 4/7 - x = 1/3
x = 4/7 - 1/3 = 5/21
a) x+1/3= 3/4
x= 3/4 - 1/3
x= 5/12
b) x-2/5 = 5/4
x= 5/4 + 2/5
x = 33 / 20
c) -x - 2/3 = 6/7
-x = 6/7 + 2/3
-x = 32/21 => x = -32/21
d) 4/7 -x = 1/3
x= 4/7 -1/3
x = 5/21

1 +1 = 3, 3 voi 3 la 4, 4 voi 1 la ba, 3 ngon tay that deu
a. | x - 1/7 | + 3/7 = 0
<=> | x - 1/7 | = - 3/7
Mà \(\left|x-\frac{1}{7}\right|\ge0\forall x\)
=> Không có x tm đề bài
b. | x + 1/4 | - 3/4 = 5%
<=> | x + 1/4 | = 4/5
<=> \(\orbr{\begin{cases}x+\frac{1}{4}=\frac{4}{5}\\x+\frac{1}{4}=-\frac{4}{5}\end{cases}}\)<=> \(\orbr{\begin{cases}x=\frac{11}{20}\\x=-\frac{21}{20}\end{cases}}\)
c. | - x + 2/5 | + 1/2 = 3,5
<=> | - x + 2/5 | = 3
<=> \(\orbr{\begin{cases}-x+\frac{2}{5}=3\\-x+\frac{2}{5}=-3\end{cases}}\)<=>\(\orbr{\begin{cases}x=-\frac{13}{5}\\x=\frac{17}{5}\end{cases}}\)

\(\left(\frac{1}{7}x-\frac{2}{7}\right)\left(\frac{1}{5}x+\frac{3}{5}\right)\left(\frac{1}{3}x+\frac{4}{3}\right)=0\)
<=> \(\frac{x-2}{7}.\frac{x+3}{5}.\frac{x+4}{3}=0\)
<=> \(\frac{x-2}{7}=0\)hoặc \(\frac{x+3}{5}=0\); \(\frac{x+4}{3}=0\)
Nếu \(\frac{x-2}{7}=0\)<=> \(x-2=0\)<=> \(x=2\)
Nếu \(\frac{x+3}{5}=0\)<=> \(x+3=0\) <=> \(x=3\)
Nếu \(\frac{x+4}{3}=0\)<=> \(x+4=0\)<=> \(x=4\)
Vây x= 2 hoặc 3; 4

\(a,x.\frac{-3}{7}=\frac{4}{21}\)
\(x=\frac{4}{21}:\frac{-3}{7}\)
\(x=\frac{-4}{9}\)
\(b,\frac{-4}{7}:x=\frac{2}{5}\)
\(x=\frac{-4}{7}:\frac{2}{5}\)
\(x=\frac{-10}{7}\)
\(c,x+\frac{1}{12}=\frac{-3}{8}\)
\(x=\frac{-3}{8}-\frac{1}{12}\)
\(x=\frac{-11}{24}\)
\(d,\frac{2}{15}-x=\frac{-3}{10}\)
\(x=\frac{2}{15}+\frac{3}{10}\)
\(x=\frac{13}{30}\)
\(e,-x+\frac{4}{5}=\frac{1}{2}\)
\(-x=\frac{-3}{10}\)
\(x=\frac{3}{10}\)
\(f,\frac{3}{4}.\left(x+1\right)-\frac{1}{2}=\frac{3}{7}\)
\(\frac{3}{4}.\left(x+1\right)=\frac{13}{14}\)
\(x+1=\frac{26}{21}\)
\(x=\frac{5}{21}\)
\(\frac{-3}{2}-2x+\frac{3}{4}=-2\)
\(\frac{-3}{2}-2x=\frac{-11}{4}\)
\(2x=\frac{-3}{2}+\frac{11}{4}\)
\(2x=\frac{-17}{4}\)
\(x=\frac{-17}{8}\)
\(h,-x+\frac{4}{5}=\frac{1}{2}\)
\(-x=\frac{-3}{10}\)
\(x=\frac{3}{10}\)
chúc bạn học tốt !!!

a)x=\(\frac{5}{12}\)
b)x=\(\frac{39}{35}\)
c)-x=-\(\frac{4}{21}\)
x=\(\frac{4}{21}\)
\(7x+\frac{1}{3}=\frac{4}{5}\)
\(\Rightarrow\)\(7x=\frac{7}{15}\)
\(\Rightarrow\)\(x=\frac{1}{15}\)
Vậy \(x=\frac{1}{15}\)
\(7x-\frac{1}{3}=\frac{4}{5}\)
\(7x=\frac{4}{5}+\frac{1}{3}\)
\(7x=\frac{17}{15}\)
\(x=\frac{17}{15}.\frac{1}{7}\)
\(x=\frac{17}{105}\)