Question

simplify the expression $5x + 8 - (2x - 3)$.

Explanation:

Step1: Remove parentheses

To simplify \(5x + 8 - (2x - 3)\), we first distribute the negative sign to the terms inside the parentheses. This gives us \(5x + 8 - 2x + 3\) (because \(-(2x - 3)=-2x + 3\)).

Step2: Combine like terms

Now, we combine the \(x\)-terms and the constant terms separately. For the \(x\)-terms: \(5x - 2x = 3x\). For the constant terms: \(8 + 3 = 11\). So, combining these results, we get \(3x + 11\).

Answer:

\(3x + 11\)