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\(a,\Rightarrow x-2=8\\ \Rightarrow x=10\\ b,\Rightarrow x+12-17=20\\ \Rightarrow x-5=20\\ \Rightarrow x=25\\ c,\Rightarrow11-\left(4x+5\right):3=4\\ \Rightarrow\left(4x+5\right):3=7\\ \Rightarrow4x+5=21\\ \Rightarrow x=4\\ d,\Rightarrow\left(35:x+3\right)\cdot17=136\\ \Rightarrow35:x+3=8\\ \Rightarrow35:x=5\\ \Rightarrow x=7\\ e,\Rightarrow41-\left(2x-5\right)=720:8\cdot5=180\\ \Rightarrow2x-5=-139\\ \Rightarrow2x=-134\\ \Rightarrow x=-67\)
\(2,\\ a,\Rightarrow x^2=4^3:16=64:16=4=2^2=\left(-2\right)^2\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\\ b,\Rightarrow\left(x-1\right)^2=9=3^2=\left(-3\right)^2\\ \Rightarrow\left[{}\begin{matrix}x-1=3\\x-1=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=4\\x=-2\end{matrix}\right.\\ c,\Rightarrow\left(3x-7\right)^5=2^5\\ \Rightarrow3x-7=2\\ \Rightarrow3x=9\Rightarrow x=3\)
\(\dfrac{2x-1}{3}=\dfrac{2-x}{-2}\)
\(\Rightarrow-2\left(2x-1\right)=3\left(2-x\right)\)
\(\Rightarrow-4x+2=6-3x\Rightarrow x=-4\)
2.
a. \(\dfrac{-4}{9}\) . \(\dfrac{7}{15}+\dfrac{4}{-9}.\dfrac{8}{15}\) = \(\dfrac{-4}{9}.\left(\dfrac{7}{15}+\dfrac{8}{15}\right)\) = \(\dfrac{-4}{9}\) . 1 = \(\dfrac{-4}{9}\)
b. \(\dfrac{5}{-4}.\dfrac{16}{25}+\dfrac{-5}{4}.\dfrac{9}{25}\) = \(\dfrac{-5}{4}.\left(\dfrac{16}{25}+\dfrac{6}{25}\right)\) = \(\dfrac{-5}{4}.1\) = \(\dfrac{-5}{4}\)
c. \(4\dfrac{11}{23}-\dfrac{9}{14}+2\dfrac{12}{23}-\dfrac{5}{4}\) = \(\left(4\dfrac{11}{23}+2\dfrac{12}{23}\right)\) \(-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{68}{23}-\dfrac{9}{14}-\dfrac{5}{4}\) = \(\dfrac{745}{322}\) - \(\dfrac{5}{4}=\dfrac{685}{644}\)
d. \(2\dfrac{13}{27}-\dfrac{7}{15}+3\dfrac{14}{27}-\dfrac{8}{15}\) = \(\left(2\dfrac{13}{27}+3\dfrac{14}{27}\right)\) - \(\left(\dfrac{7}{15}-\dfrac{8}{15}\right)\) = \(\dfrac{68}{27}\) - \(\dfrac{-1}{15}\) =
e. \(11\dfrac{1}{4}-\left(2\dfrac{7}{5}+5\dfrac{1}{4}\right)\) = \(11\dfrac{1}{4}\) - \(\dfrac{81}{20}\) = \(\dfrac{-13}{10}\)
g. \(\dfrac{7}{19}.\dfrac{8}{11}+\dfrac{7}{19}.\dfrac{3}{11}+\dfrac{12}{19}\) = \(\dfrac{7}{9}.\left(\dfrac{8}{11}+\dfrac{3}{11}\right)+\dfrac{12}{19}\) = \(\dfrac{7}{9}.1+\dfrac{12}{19}\) = \(\dfrac{7}{19}+\dfrac{12}{19}\) = \(1\)
<=>55 - 3x = 25
<=>-3x = 25 - 55
<=>-3x = -30
<=>x=10
55 - 3x = (-5)2
55 - 3x = 25
3x = 55 - 25
3x = 30
x = 30 : 3
x = 10
Vậy x = 10