To simplify the expression \(5x - 2(2x - 3)\), follow these steps:

1. Distribute the \(-2\) through the parentheses:
   \[
   -2(2x - 3) = -2 \cdot 2x + (-2) \cdot (-3) = -4x + 6
   \]

2. Substitute this back into the original expression:
   \[
   5x - 4x + 6
   \]

3. Combine like terms:
   \[
   5x - 4x + 6 = x + 6
   \]

So, the simplified expression is:
\[
x + 6
\]

Would you like any details or have any questions?

Here are 5 numbered questions you can ask:
1. How do you solve a quadratic equation?
2. Can you explain the process of factoring polynomials?
3. What is the derivative of \(x^3 + 2x^2 - 5x + 4\)?
4. How do you integrate \(\int (3x^2 - 4x + 1) \, dx\)?
5. What are the properties of logarithms?

Tip: When simplifying expressions, always perform operations inside parentheses first and combine like terms.

Learn how to simplify the expression 5x - 2(2x - 3) step-by-step. This problem covers key algebraic concepts such as the distributive property and combining like terms. Suitable for students in Grades 7-9.

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