The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \dfrac{ 12 }{ 23 } \end{aligned} $$Step 1:
Combine like terms:
$$ \, \color{blue}{ \cancel{6x}} \, \, \color{green}{ -\cancel{6x}} \, \color{green}{-23x} +12 = \color{green}{-23x} +12 $$Step 2:
$$ \begin{aligned} -23x+12 & = 0 \\[1 em] -23 \cdot x & = -12 \\[1 em] x & = - \frac{ 12 }{ -23 } \\[1 em] x & = \frac{ 12 }{ 23 } \end{aligned} $$