Cancel out $x-1$ in both numerator and denominator.
$$\frac{1}{4}-\frac{x+2}{8x-8}$$
Factor $8x-8$.
$$\frac{1}{4}-\frac{x+2}{8\left(x-1\right)}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $8\left(x-1\right)$ is $8\left(x-1\right)$. Multiply $\frac{1}{4}$ times $\frac{2\left(x-1\right)}{2\left(x-1\right)}$.
Since $\frac{2\left(x-1\right)}{8\left(x-1\right)}$ and $\frac{x+2}{8\left(x-1\right)}$ have the same denominator, subtract them by subtracting their numerators.
Cancel out $x-1$ in both numerator and denominator.
$$\frac{1}{4}-\frac{x+2}{8x-8}$$
Factor $8x-8$.
$$\frac{1}{4}-\frac{x+2}{8\left(x-1\right)}$$
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of $4$ and $8\left(x-1\right)$ is $8\left(x-1\right)$. Multiply $\frac{1}{4}$ times $\frac{2\left(x-1\right)}{2\left(x-1\right)}$.
Since $\frac{2\left(x-1\right)}{8\left(x-1\right)}$ and $\frac{x+2}{8\left(x-1\right)}$ have the same denominator, subtract them by subtracting their numerators.
