To determine how the speaker found the value of $x$, I'd need more details about the context. Typically, finding the value of $x$ involves solving an equation where $x$ is the unknown variable. The process can include:

1. Isolating $x$: If the equation is linear, like $ax + b = 0$, the speaker might have isolated $x$ by moving terms and dividing by the coefficient of $x$.

2. Substitution: If it's a more complex function, like a quadratic equation, the speaker might have used methods like factoring, completing the square, or applying the quadratic formula.

3. Graphical methods: The speaker might have used a graph to determine where the function intersects the x-axis (roots).

4. Trial and error: Sometimes, especially in puzzles or games, $x$ is found by testing values.

Without a specific example or equation, I can only speculate. Could you provide the exact equation or context in which the speaker determined $x$? This will allow me to give a more precise explanation.