Finding Where Two Functions Intersect

Consider the functions defined as follows:

$f(x) = 2x^2 - 3x + 1$

and

$g(x) = x - 4$.

Calculate the value of $x$ for which the outputs of these two functions are equal, i.e., $f(x) = g(x)$. Provide your answer in the form of a fraction or a decimal.