Solve $LaTeX: \displaystyle | 6 x - 1 |=79$

Splitting into two linear equations gives $LaTeX: \displaystyle 6 x - 1=-79$ and $LaTeX: \displaystyle 6 x - 1=79$ . Solving gives the two solutions $LaTeX: \displaystyle x=\frac{40}{3}$ and $LaTeX: \displaystyle x=-13$