the solution of the equation 5 - 2x = -4x - 7 is?

To solve the equation \( 5 - 2x = -4x - 7 \), follow these steps:

1. **Add \( 4x \) to both sides** to eliminate the \( -4x \) on the right side:
   \[
   5 - 2x + 4x = -4x - 7 + 4x
   \]
   This simplifies to:
   \[
   5 + 2x = -7
   \]

2. **Subtract 5 from both sides** to isolate the term with \( x \):
   \[
   5 + 2x - 5 = -7 - 5
   \]
   This simplifies to:
   \[
   2x = -12
   \]

3. **Divide both sides by 2** to solve for \( x \):
   \[
   x = \frac{-12}{2}
   \]
   So, \( x = -6 \).

### The solution is \( x = -6 \).

Would you like more details or have any questions? Here are some related questions to explore:

1. What are the steps to solve linear equations with variables on both sides?
2. How would the solution change if the equation were \( 5 - 2x = 4x - 7 \)?
3. Can you graph the equation \( 5 - 2x = -4x - 7 \) to visualize the solution?
4. What happens if you substitute \( x = -6 \) back into the original equation?
5. How do you solve similar equations involving fractions?

**Tip:** Always start by simplifying both sides of an equation before attempting to move terms across the equals sign.

Find the solution to the linear equation 5 - 2x = -4x - 7 with this step-by-step guide. Learn key algebraic techniques for solving equations with variables on both sides, suitable for students in Grades 7-9.

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