Solve the second equation: \(\frac{6x - 8}{5} - \frac{3.6}{4} = -7.4\)

Solution:

1. Simplify the fraction: \(\frac{3.6}{4} = 0.9\). The equation becomes \(\frac{6x - 8}{5} - 0.9 = -7.4\).
2. Isolate the fraction term: Add 0.9 to both sides of the equation: \(\frac{6x - 8}{5} = -7.4 + 0.9\), which simplifies to \(\frac{6x - 8}{5} = -6.5\).
3. Clear the denominator: Multiply both sides by 5: \(6x - 8 = 5 \cdot (-6.5)\), which results in \(6x - 8 = -32.5\).
4. Isolate the term with x: Add 8 to both sides of the equation: \(6x = -32.5 + 8\), which simplifies to \(6x = -24.5\).
5. Solve for x: Divide both sides by 6: \(x = \frac{-24.5}{6}\).
6. Convert to fraction: \(x = -\frac{245}{60}\)
7. Simplify fraction: \(x = -\frac{49}{12}\)

Answer: \(x = -\frac{49}{12}\)