Given: $8(2x – 5) – 6(3x – 7) = 1$

Given: $8(2x – 5) – 6(3x – 7) = 1$

On simplifying the brackets, we get:

$$\begin{gathered} => (8 \times 2x) – (8 \times 5) – (6 \times 3x) + (-6) \times (-7) = 1 \\ => 16x – 40 – 18x + 42 = 1 \\ => 16x – 18x + 42 – 40 = 1 \\ => - 2x + 2 = 1 \\ => - 2x = 1 - 2 \\ => 2x = 1 \end{gathered}$$

 $=> x =\frac{1}{2}$