Atrisini vienādojumu \(\frac{8a-5}{5}-\frac{2a-7}{2}=-3\).
Veicam ekvivalentus pārveidojumus:
\[\begin{aligned} & \left.\frac{8a-5}{5}-\frac{2a-7}{2}=-3 \quad \right\rvert\, \cdot 10 \\ & 2 \cdot(8a-5)-5 \cdot(2a-7)=-30 \\ & 16a-10-10a+35=-30 \\ & 6a=-55 \\ & a=-\frac{55}{6} \end{aligned}\]
Atbilde: \(a=-\frac{55}{6}\).