6.31 Найдите корень уравнения:

a) \(\frac{1}{5}x = \frac{1}{2}x + 6\) \(\Rightarrow\) \(\frac{1}{5}x - \frac{1}{2}x = 6\) \(\Rightarrow\) \(-\frac{3}{10}x = 6\) \(\Rightarrow\) \(x = -20\).
б) \(\frac{1}{4}x = \frac{1}{3}x + 1\) \(\Rightarrow\) \(\frac{1}{4}x - \frac{1}{3}x = 1\) \(\Rightarrow\) \(-\frac{1}{12}x = 1\) \(\Rightarrow\) \(x = -12\).
в) \(\frac{8}{5} = \frac{2}{5}x\) \(\Rightarrow\) \(x = 8\).
г) \(\frac{3}{4} = \frac{x}{12}\) \(\Rightarrow\) \(x = \frac{3 \cdot 12}{4}\) \(\Rightarrow\) \(x = 9\).