Tim x. x-1/x+5=6/7
x-2/x-1=x+4/x+7
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7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -2
=> -11x + (-39) = -2
=> -11x = -2 - (-39)
=> -11x = 37
=> x = \(\frac{-37}{11}\)
7(2x - 5) - 5(7x - 2) + 2(5x - 7) = (x + 2) - (x + 4)
=> 14x - 35 - 35x + 10 + 10x -14 = x + 2 - x - 4
=> (14x - 35x + 10x) + (-35 + 10 - 14) = -6
=> -11x - 39 = -6
=> -11x = -6+39
=> -11x = 33
=> x = 33:(-11)
=> x = -3
\(x+3\frac{1}{2}=24\frac{1}{4}-x\)
\(\Leftrightarrow x+x=24\frac{1}{4}-3\frac{1}{2}\)
\(\Leftrightarrow2x=\frac{94}{4}-\frac{14}{4}\)
\(\Leftrightarrow2x=\frac{90}{4}=\frac{45}{2}\)
\(\Leftrightarrow x=\frac{45}{2}:2\)
\(\Leftrightarrow x=\frac{45}{4}\)
\(5+x-3=5-\left(x+4\right)\)
\(5+x-3=5-x-4\)
\(x+x=5-4-5+3\)
\(2x=-1\)
\(x=\frac{-1}{2}\)
vay \(x=\frac{-1}{2}\)
\(x-\left(5.\left|-7\right|+3\right)=\left|-8\right|+6-2\)
\(x-\left(5.7+3\right)=8+6-2\)
\(x-38=12\)
\(x=12+38\)
\(x=50\)
vay \(x=50\)
\(\left|x-3\right|+7=0\)
\(\left|x-3\right|=-7\)( ko ton tai)
\(12-3\left|x-1\right|=6\)
\(3\left|x-1\right|=6\)
\(\left|x-1\right|=2\)
\(\Rightarrow\orbr{\begin{cases}x-1=2\\x-1=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)
vay \(\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)
a/ \(\frac{x-1}{x+5}=\frac{6}{7}\Rightarrow7\left(x-1\right)=6\left(x+5\right)\Rightarrow7x-7=6x+30\Rightarrow x=37\)
b/ \(\frac{x-2}{x-1}=\frac{x+4}{x+7}\Rightarrow\left(x-2\right)\left(x+7\right)=\left(x+4\right)\left(x-1\right)\Rightarrow x^2+5x-14=x^2+3x-4\)
\(\Rightarrow2x=10\Rightarrow x=5\)