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a) \(\frac{2}{3x}=\frac{5}{2}\Leftrightarrow3x=\frac{4}{5}\Rightarrow x=\frac{4}{15}\)
b) \(\frac{x-3}{4}=\frac{1}{2}\Rightarrow x-3=2\Rightarrow x=5\)
c) \(\frac{5}{24+x}=\frac{7}{12}\Rightarrow24+x=\frac{60}{7}\Rightarrow x=\frac{-108}{7}\)
d) \(-6x=18\Rightarrow x=-3\)
\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{x\left(x+2\right)}=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{x+2}=\frac{11}{75}:\frac{1}{2}=\frac{22}{75}\Leftrightarrow\frac{1}{x+2}=\frac{1}{25}\Leftrightarrow x=23\)
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\(\frac{x}{5}=\frac{3}{15}\)suy ra x = 1
\(\frac{x}{7}=\frac{2}{14}\)suy ra x = 1
\(\frac{\left(x+1\right)}{3}=\frac{1}{2}\)suy ra x = \(\frac{1}{2}\)
\(\frac{\left(x-5\right)}{6}=\frac{1}{3}\)suy ra x = 7
\(\frac{\left(x:3\right)}{7}=2\left(\frac{1}{7}\right)\)
\(\frac{\left(x:3\right)}{7}=\frac{15}{7}\)suy ra x = 45
X + 2/7 = 5/3
X = 5/3 - 2/7
X = 29/21
\(x=\dfrac{5}{3}-\dfrac{2}{7}=\dfrac{29}{21}\)