Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$x=-4$
Use the power rule: $a^p=a^q$ . We can see that the base $a=e$ is the same on both sides of the equation. So, the exponents will also be equal. This implies that $p=q$ Therefore, $x=3x+8 \\ x-3x=8 \\ -2x=8 \\ x=-4$