To solve the equation \( 4x - 300 = 2x \), follow these steps:

1. Subtract \( 2x \) from both sides to get all the \( x \)-terms on one side:
   \[
   4x - 2x - 300 = 0
   \]
   This simplifies to:
   \[
   2x - 300 = 0
   \]

2. Add 300 to both sides to isolate the \( x \)-term:
   \[
   2x = 300
   \]

3. Divide both sides by 2 to solve for \( x \):
   \[
   x = \frac{300}{2} = 150
   \]

Thus, the solution is \( x = 150 \).

Would you like more details or have any questions?

Here are some related questions you might explore:
1. What happens if you subtract \( 4x \) from both sides instead?
2. How would you solve the equation \( 6x - 500 = 3x \)?
3. What if the equation was \( 4x - 300 = 3x \)?
4. How do you solve \( 4x - 300 = 2(x + 10) \)?
5. Can you explain how to check if \( x = 150 \) is correct?

**Tip:** Always move variables to one side and constants to the other when solving linear equations.

Learn how to solve the linear equation 4x - 300 = 2x with a step-by-step solution. This algebra problem explains how to balance terms and isolate the variable. Ideal for students in Grades 6-8.

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