6=8-5(7x-1)

To solve the equation \( 6 = 8 - 5(7x - 1) \), we will first simplify the right side of the equation.

1. Distribute the \(-5\) in the equation: \[ 6 = 8 - 5 \cdot 7x + 5 \cdot 1 \] This simplifies to: \[ 6 = 8 - 35x + 5 \]

2. Combine the constant terms on the right side: \[ 6 = 13 - 35x \]

3. Next, we will isolate the term with \(x\). Subtract \(13\) from both sides: \[ 6 - 13 = -35x \] This simplifies to: \[ -7 = -35x \]

4. Now, divide both sides by \(-35\): \[ x = \frac{-7}{-35} \] Simplifying the fraction: \[ x = \frac{1}{5} \]

Thus, the solution is: \[ x = \frac{1}{5} \]