It seems you're working with an equation involving two variables, \(x\) and \(y\). The equation given is:

\[
-2x + 3yx = 4
\]

Do you want to solve for \(x\) in terms of \(y\)? If yes, I’ll guide you through the steps.

### Step-by-step solution:

#### 1. Group like terms involving \(x\).
Notice that both terms on the left contain \(x\). So, we can factor out \(x\):

\[
x(-2 + 3y) = 4
\]

#### 2. Solve for \(x\).
Now, divide both sides by \((-2 + 3y)\) (assuming \(3y - 2 \neq 0\) to avoid division by zero):

\[
x = \frac{4}{-2 + 3y}
\]

Alternatively, we can rewrite this as:

\[
x = \frac{4}{3y - 2}
\]

### Final Answer:
\[
x = \frac{4}{3y - 2}
\]

Let me know if you wanted a different approach, such as isolating \(y\) or substituting values for \(y\). 

---

Would you like further details on:  
1. Why we factored out \(x\)?  
2. What happens if \(3y - 2 = 0\)?  
3. How to graph the solution?  
4. How this behaves for different \(y\) values?  
5. How the solution changes if constants change?  

**Tip:** Always look for common factors when you want to isolate a variable.

Learn to solve for x in the algebraic equation -2x + 3yx = 4. This solution demonstrates step-by-step factoring and isolating variables, ideal for students in Grades 9-10. Understand how to rearrange terms and simplify expressions to find x in terms of y.

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