Solve $LaTeX: \displaystyle | 8 x + 3 |=69$

Splitting into two linear equations gives $LaTeX: \displaystyle 8 x + 3=-69$ and $LaTeX: \displaystyle 8 x + 3=69$ . Solving gives the two solutions $LaTeX: \displaystyle x=\frac{33}{4}$ and $LaTeX: \displaystyle x=-9$