Question
$$3x\cdot2x\cdot2+x-3+x\cdot7 = 2+x+13$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 7 }{ 24 }-\dfrac{\sqrt{ 913 }}{ 24 } & x_2 = -\dfrac{ 7 }{ 24 }+\dfrac{\sqrt{ 913 }}{ 24 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3x\cdot2x\cdot2+x-3+x\cdot7 &= 2+x+13&& \text{simplify left and right hand side} \\[1 em]12x^2+x-3+7x &= x+15&& \\[1 em]12x^2+8x-3 &= x+15&& \text{move all terms to the left hand side } \\[1 em]12x^2+8x-3-x-15 &= 0&& \text{simplify left side} \\[1 em]12x^2+7x-18 &= 0&& \\[1 em] \end{aligned} $$
$ 12x^{2}+7x-18 = 0 $ is a quadratic equation.
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