The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \frac{ 3 }{ 2 } \end{aligned} $$Step 1:
Combine like terms:
$$ \color{blue}{x} + \color{blue}{x} -3 = \color{blue}{2x} -3 $$Step 2:
$$ \begin{aligned} 2x-3 & = 0 \\[1 em] 2 \cdot x & = 3 \\[1 em] x & = \frac{ 3 }{ 2 } \end{aligned} $$