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a) \(\frac{5+x}{4-x}=\frac{1}{2}\)
10 + 2x = 4 - x
10 - 4 = -x - 2x
6 = -3x
=> x = 6/-3 = -2
b) \(\frac{25}{14}=\frac{x+7}{x-4}\)
25x - 100 = 14x + 98
25x - 14x = 98 + 100
11x = 198
=> x = 198/11 = 18

a, ( 152 +và 2/4 - 148 và 3/8 ) : 0,2 = x : 0,3
=> 33/8 : 1/5 = x : 3/10
=> x : 3/10 = 165/8
=> x = 99/10
b, ( 85 và 7/30 - 83 và 5/18 ) : 2 và 2/3 = 0,01x : 4
=> 88/45 : 8/3 = 0,01x : 4
=> 0,01x : 4 = 11/15
=> 0,01x = 44/15
=> x = 880/3
c, x - 1/ x + 5 = 6/7
=> 7( x - 1 ) = 6( x + 5 )
=> 7x - 7 = 6x + 30
=> 7x - 6x = 7 + 30
=> x = 37
d, x2/6 = 24/25
=> x2. 25 = 6 . 24
=> x2.25 = 144
=> x2 = 144/25
=> x = ( 12/5)2 hoặc x = ( -12/5)
g, x - 3/ x + 5 = 5/7
=> 7( x - 3 ) = 5 ( x + 5 )
=> 7x - 21 = 5x + 25
=> 7x - 5x = 21 + 25
=> 2x = 46
=> x = 23












\(a.\left(x-1\right)^2=\frac{9}{25}\)
\(\left(x-1\right)^2=\left(\frac{3}{5}\right)^2\)
\(x-1=\frac{3}{5}\)
\(x=\frac{3}{5}+1\)
\(x=\frac{8}{5}\)
\(b.\frac{1}{2}-\frac{1}{3}.x=\frac{4}{5}\)
\(\frac{1}{3}.x=\frac{1}{2}-\frac{4}{5}\)
\(\frac{1}{3}.x=\frac{-3}{10}\)
\(x=\frac{-3}{10}:\frac{1}{3}\)
\(x=\frac{-3}{10}.\frac{3}{1}\)
\(x=\frac{-9}{10}\)
a) \(\left(x-1\right)^2=\frac{9}{25}\)
\(\left(x-1\right)^2=\left(\frac{3}{5}\right)^2\)
\(TH1:x-1=\frac{3}{5}\Rightarrow x=\frac{8}{5}\)
\(TH2:x-1=-\frac{3}{5}\Rightarrow-\frac{3}{5}+1=\frac{2}{5}\)
\(\Rightarrow x\in\left\{\frac{8}{5};\frac{2}{5}\right\}\)
b) \(\frac{1}{2}-\frac{1}{3}x=\frac{4}{5}\)
\(\frac{1}{3}x=\frac{1}{2}-\frac{4}{5}=-\frac{3}{10}\)
\(x=-\frac{3}{10}:\frac{1}{3}\)
\(x=-\frac{9}{10}\)

a) \(\frac{x-1}{x+5}=\frac{6}{7}\)
\(\Rightarrow7.\left(x-1\right)=6.\left(x+5\right)\)
\(\Rightarrow7x-7=6x+30\)
\(\Rightarrow7x-6x=7+30\)
\(\Rightarrow x=37\)
b) \(\frac{x^2}{6}=\frac{24}{25}\)
\(\Rightarrow25.x^2=24.6\)
\(\Rightarrow25.x^2=144\)
\(\Rightarrow x^2=144:25\)
\(\Rightarrow x^2=\frac{144}{25}\)
\(\Rightarrow x^2=\frac{12^2}{5^2}\)
\(\Rightarrow x^2=\frac{12}{5}^2\)
\(\Rightarrow x=\pm\frac{12}{5}\)
\(c,\frac{x-2}{x-1}=\frac{x+4}{x+7}\)
\(\Leftrightarrow(x-2)(x+7)=(x+4)(x-1)\)
\(\Leftrightarrow x^2+5x-14=x^2+3x-4\)
\(\Leftrightarrow x^2+5x-14-x^2+3x=-4\)
\(\Leftrightarrow\left[x^2-x^2\right]+5x-3x-14=-4\)
\(\Leftrightarrow2x-14=-4\)
\(\Leftrightarrow2x=10\Leftrightarrow x=5\)
425 −x =x14
-X = \(\frac{1}{25}\)
Cho mình sửa lại đề bài
\(\frac{4}{\frac{25}{-x}}=\frac{x}{\frac{1}{4}}\)