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a
\(5\frac{4}{7}:x+=13\)
\(\frac{39}{7}:x=13\)
\(x=\frac{39}{7}:13\)
\(x=\frac{3}{7}\)
\(\frac{4}{7}x=\frac{9}{8}-0,125\)
\(\frac{4}{7}x=1\)
\(x=1:\frac{4}{7}\)
\(x=\frac{7}{4}=1\frac{3}{4}\)

\(a)\frac{2}{3}x-\frac{1}{2}=\frac{5}{12}\)
\(\Rightarrow\frac{2}{3}x=\frac{5}{12}+\frac{1}{2}=\frac{11}{12}\)
\(\Rightarrow x=\frac{11}{12}:\frac{2}{3}=\frac{11}{8}\)
\(b)\left(2\frac{4}{5}x-50\right):\frac{2}{3}=51\)
\(\Rightarrow\frac{14}{5}x-50=51.\frac{2}{3}=34\)
\(\Rightarrow\frac{14}{5}x=34+50=84\)
\(\Rightarrow x=84:\frac{14}{5}=30\)
a) 2/3.x - 1/2 = 5/12
2/3.x = 5/12 + 1/2
2/3.x = 11/12
x = 11/12 : 2/3
x = 11/8
b) \(\left(2\frac{4}{5}.x-50\right):\frac{2}{3}=51\)
\(\frac{14}{5}.x-50=51.\frac{2}{3}\)
\(\frac{14}{5}.x-50=34\)
\(\frac{14}{5}.x=34+50\)
\(\frac{14}{5}.x=84\)
\(x=84:\frac{14}{5}\)
\(x=30\)

\(\frac{5}{11}.\frac{3}{7}+\frac{5}{7}.\frac{4}{11}-\frac{3}{11}\)
\(=\frac{3}{11}.\frac{5}{3}.\frac{3}{7}+\frac{5}{7}.\frac{4}{3}.\frac{3}{11}-\frac{3}{11}\)
\(=\frac{3}{11}.\left(\frac{5}{7}+\frac{20}{21}-1\right)\)
\(=\frac{3}{11}.\left(\frac{15+20}{21}-1\right)\)
\(=\frac{3}{11}.\left(\frac{35}{21}-1\right)\)
\(=\frac{3}{11}.\frac{14}{21}\)
\(=\frac{14}{77}\)
5/11 x 3/7 + 5/7 x 4/11 - 3/11
= 5/11 x 3/7 + 5/11 x 4/7 - 3/11
= 5/11 x ( 3/7 + 4/7 ) - 3/11
= 5/11 x 1 - 3/11
= 5/11 - 3/11
= 2/11
Tk nha !!

\(a,\frac{4-x}{-2}=\frac{8}{x-4}\left(x\ne4\right)\)
\(\Leftrightarrow\frac{x-4}{2}=\frac{8}{x-4}\)
\(\Leftrightarrow\left(x-4\right)^2=16\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=16\\x-4=-16\end{cases}\Leftrightarrow\orbr{\begin{cases}x=20\\x=-12\end{cases}}}\)(tmđk)
b) \(\frac{3}{x-1}=\frac{x}{24}\left(x\ne1\right)\)
<=> x(x-1)=72
Vì x và x-1 là 2 số liên tiếp => x(x-1)=8.9
=> x=8 (tmđk)
a, ĐKXĐ \(x-4\ne0\Leftrightarrow x\ne4\)
\(\frac{4-x}{-2}=\frac{8}{x-4}\Leftrightarrow-\frac{4-x}{2}=\frac{8}{x-4}\Leftrightarrow x-4=\frac{16}{x-4}\Leftrightarrow\left(x-4\right)^2=16\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=\sqrt{16}=4\\x-4=\sqrt{16}=-4\end{cases}}\)Theo ĐKXĐ => x = -4
b, ĐKXĐ \(x-1\ne0\Leftrightarrow x\ne1\)
\(\frac{3}{x-1}=\frac{x}{24}\Leftrightarrow72=x\left(x-1\right)\Leftrightarrow72=x^2-x\Leftrightarrow x^2-x-72=0\Leftrightarrow\left(x-9\right)\left(x+8\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-8\end{cases}}\)Theo ĐKXĐ : x (tm)
\(\frac{3}{x-5}=\frac{-4}{x+2}\)
\(\Leftrightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Leftrightarrow3x+6=-4x+20\)
\(\Leftrightarrow7x=14\)\(\Leftrightarrow x=2\)
Vậy \(x=2\)