Select the value that makes each equation TRUE.
Statement
x = 2
x = 3
3x - 2 = 7
2x + 1 = 5


To determine the value of \( x \) that makes each equation true, we need to solve the given equations.

1. **Equation: \( 3x - 2 = 7 \)**

   Solve for \( x \):

   \[
   3x - 2 = 7
   \]

   Add 2 to both sides:

   \[
   3x = 9
   \]

   Divide by 3:

   \[
   x = 3
   \]

2. **Equation: \( 2x + 1 = 5 \)**

   Solve for \( x \):

   \[
   2x + 1 = 5
   \]

   Subtract 1 from both sides:

   \[
   2x = 4
   \]

   Divide by 2:

   \[
   x = 2
   \]

So, the correct values of \( x \) are:

- \( x = 3 \) makes the equation \( 3x - 2 = 7 \) true.
- \( x = 2 \) makes the equation \( 2x + 1 = 5 \) true.

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve linear equations with one variable?
2. What happens if both sides of an equation have variables?
3. Can you have more than one solution for a linear equation?
4. How do you check if your solution to an equation is correct?
5. What is the significance of the slope in a linear equation?

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

Learn how to solve linear equations involving multiple variables with detailed step-by-step solutions. This problem covers fundamental algebraic concepts and equations such as x = 2, x = 3, 3x - 2 = 7, and 2x + 1 = 5. Suitable for students in Grades 7-9.

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