To solve the equation \( 2x + 3 = 3x - 4 \), follow these steps:

1. **Subtract \( 2x \) from both sides** to get all the \( x \)-terms on one side:
   \[
   2x + 3 - 2x = 3x - 4 - 2x
   \]
   Simplifying this gives:
   \[
   3 = x - 4
   \]

2. **Add 4 to both sides** to isolate \( x \):
   \[
   3 + 4 = x - 4 + 4
   \]
   Simplifying this gives:
   \[
   x = 7
   \]

So, the solution to the equation is \( x = 7 \).

Would you like more details on the solution process or have any questions? Here are five related questions you might consider:

1. How would you solve the equation \( 4x + 5 = 6x - 9 \)?
2. What happens if you have an equation with variables on both sides but no solution?
3. How can you check if your solution to an equation is correct?
4. What are the steps to solve an equation with fractions?
5. Can you solve the equation \( 5x - 2 = 3x + 8 \)?

**Tip:** Always check your solution by substituting it back into the original equation.

This page explains how to solve the linear equation 2x + 3 = 3x - 4 step by step. Learn how to apply basic algebraic operations, such as adding and subtracting terms, to isolate the variable and find the solution. Suitable for students in Grades 6-8.

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