SOLUTION: Solve for the variable $x$ in terms of $y$ and $z$: xy + 2x = \frac{x - 2y + z}{3} + (x + y^3*z - 8y^2*z^2)*(y^5 + 3y*z^4 - 7y^8)/(y^2*z - 3y^5*z^2 + 13y*z^12)

Algebra.Com
Question 1209069: Solve for the variable $x$ in terms of $y$ and $z$:
xy + 2x = \frac{x - 2y + z}{3} + (x + y^3*z - 8y^2*z^2)*(y^5 + 3y*z^4 - 7y^8)/(y^2*z - 3y^5*z^2 + 13y*z^12)

Answer by yurtman(42)   (Show Source): You can put this solution on YOUR website!
To solve for $x$ in terms of $y$ and $z$, we'll need to isolate $x$ on one side of the equation. However, due to the complex nature of the right-hand side, it's difficult to directly isolate $x$.
A more practical approach is to use numerical methods or software tools to solve for $x$ given specific values of $y$ and $z$. These tools can handle complex equations and provide accurate solutions.
If you have specific values for $y$ and $z$, please provide them, and we can use a numerical method or software tool to find the corresponding value of $x$.
Alternatively, if you have a specific context or application for this equation, it might be possible to simplify or approximate the right-hand side under certain conditions.
However, in general, finding an explicit solution for $x$ in terms of $y$ and $z$ in a closed form is challenging due to the complexity of the equation.

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