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1. \(x=\frac{61}{42}\)
2. \(x=\frac{-36}{5}\)
3. \(x=\frac{13}{11}\)
4. \(x=\frac{1}{12}\)
5.\(x=\frac{-5}{2}\)

\(a;\dfrac{2}{3}x-50\%x-\left(-\dfrac{4}{5}\right):1\dfrac{3}{5}=-0,12+1\dfrac{3}{25}\\ \dfrac{1}{6}x+\dfrac{1}{2}=1\Rightarrow\dfrac{1}{6}x=1-\dfrac{1}{2}=\dfrac{1}{2}\\ \Rightarrow x=\dfrac{1}{2}:\dfrac{1}{6}=3\\ b;\left(-1\dfrac{1}{6}+\dfrac{2}{3}-\dfrac{3}{4}\right):x+\left(-1\dfrac{11}{12}\right)\cdot1\dfrac{21}{23}=-6\dfrac{1}{3}\\ -\dfrac{5}{4}:x-\dfrac{11}{3}=-\dfrac{19}{3}\\ -\dfrac{5}{4}:x=-\dfrac{19}{3}+\dfrac{11}{3}=-\dfrac{8}{3}\\ x=-\dfrac{5}{4}:\left(-\dfrac{8}{3}\right)=\dfrac{15}{32}\\ c;50\%x-\dfrac{1}{3}x-\left(-\dfrac{2}{3}\right)^2\cdot\left(-1\dfrac{1}{8}\right)=-119\dfrac{3}{4}+120\dfrac{5}{6}\\ \dfrac{1}{6}x+\dfrac{1}{2}=\dfrac{13}{12}\Rightarrow\dfrac{1}{6}x=\dfrac{13}{12}-\dfrac{1}{2}=\dfrac{7}{12}\\ x=\dfrac{7}{12}:\dfrac{1}{6}=\dfrac{7}{2}\)
\(\frac{1}{5^x}.\frac{1}{5^8}.\frac{1}{25^3}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^x.5^8.25^3}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^x.5^8.\left(5^2\right)^3}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^x.5^8.5^{2.3}}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^x.5^8.5^6}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^{x+8+6}}=\frac{1}{5^{60}}\)
=> \(\frac{1}{5^{x+14}}=\frac{1}{5^{60}}\)
=> \(x+14=60\)
=> \(x=46\)
1 . 1 . 1 = 1
5^x 5^8 25^3 5^60
<=> 1 . 1 . 1 = 1
5^x 5^8 5^6 5^60
<=> 1.1.1 = 1
5^x . 5^8 . 5^6 5^60
<=> 1 = 1
5^x+14 5^60
<=> x+14 =60
<=> x = 60-14
=> x = 46