(Here it is in a more clear way:

A group of five students is playing a game of basketball. They have to solve three problems to earn points.

Each correct answer is worth 5 points.

The problem for them to solve is:

2+5x - 3 = A

The students must find the value of x that satisfies this equation.

To solve the equation \( 2 + 5x - 3 = A \), the students need to isolate the variable \( x \). Here’s the step-by-step solution:

1. Simplify the left side of the equation:
   \[
   2 + 5x - 3 = A
   \]
   Combine the constants \( 2 \) and \( -3 \):
   \[
   5x - 1 = A
   \]

2. Solve for \( x \):
   \[
   5x - 1 = A
   \]
   Add 1 to both sides to isolate the term with \( x \):
   \[
   5x = A + 1
   \]

3. Divide both sides by 5 to solve for \( x \):
   \[
   x = \frac{A + 1}{5}
   \]

So, the value of \( x \) that satisfies the equation \( 2 + 5x - 3 = A \) is:
\[
x = \frac{A + 1}{5}
\]

If the students substitute the value of \( A \) they find from solving the other problems, they can determine the specific value of \( x \).

Would you like more details or have any questions about this solution?

Here are 5 more questions you can ask:
1. How do you solve quadratic equations?
2. Can you explain the difference between permutations and combinations?
3. What is the derivative of \( x^3 + 3x^2 + 2x + 1 \)?
4. How do you find the integral of \( \sin(x) \)?
5. Can you explain the concept of a function and its domain?

**Tip:** When solving algebraic equations, always perform the same operation on both sides of the equation to maintain the equality.

Learn how to solve the equation 2 + 5x - 3 = A with a step-by-step solution. Understand the order of operations and how to isolate the variable x. Suitable for students in Grades 7-9.

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