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.