Solve $LaTeX: \displaystyle | 5 x - 4 |=79$

Splitting into two linear equations gives $LaTeX: \displaystyle 5 x - 4=-79$ and $LaTeX: \displaystyle 5 x - 4=79$ . Solving gives the two solutions $LaTeX: \displaystyle x=\frac{83}{5}$ and $LaTeX: \displaystyle x=-15$