Answer
$x=-3$.
Work Step by Step
The given equation is
$\Rightarrow \frac{2}{3}x+5=3$
Subtract $5$ from each side.
$\Rightarrow \frac{2}{3}x+5-5=3-5$
Simplify.
$\Rightarrow \frac{2}{3}x=-2$
Multiply each side by $\frac{3}{2}$.
$\Rightarrow \frac{3}{2}\cdot \frac{2}{3}x=\frac{3}{2}\cdot (-2)$
Simplify.
$\Rightarrow x=-3$
Check:-
$\Rightarrow \frac{2}{3}(-3)+5=3$
$\Rightarrow -2+5=3$
$\Rightarrow 3=3$
True.
Hence, the solution is $x=-3$.
