$$ \begin{aligned} 1 &= 14x-1&& \text{ swap the left and right side of the equation } \\[1 em]14x-1 &= 1&& \text{ move -1 to the right } \\[1 em]14x &= 1+1&& \\[1 em]14x &= 2&& \text{ divide both sides by $ 14 $ } \\[1 em]x &= \frac{2}{14}&& \\[1 em]x &= \frac{1}{7}&& \\[1 em] \end{aligned} $$