Answer
No solution
Work Step by Step
$\frac{1}{7}(2x - 5) = \frac{2}{7}x + 1$
Distribute:
$\frac{2}{7}x - \frac{5}{7} = \frac{2}{7}x + 1$
Subtract $\frac{2}{7}x$ from both sides:
$-\frac{5}{7} = 1$
The equation is not true with any value of x, so there is no solution.