Answer
$x=6$.
Work Step by Step
The given equation is
$\Rightarrow 3(3x-8)=4x+6$
Use distributive property.
$\Rightarrow 9x-24=4x+6$
Add $-4x+24$ to each sides.
$\Rightarrow 9x-24-4x+24=4x+6-4x+24$
Simplify.
$\Rightarrow 5x=30$
Divide both sides by $5$.
$\Rightarrow \frac{5x}{5}=\frac{30}{5}$
Simplify.
$\Rightarrow x=6$.
