Question

subtract (2x + 3) from the sum of (7x + 1) and (6x + 5).
the result is
(simplify your answer. do not factor.)

Explanation:

Step1: Find the sum of (7x + 1) and (6x + 5)

To find the sum, we add the like terms. The sum of the \(x\)-terms is \(7x+6x = 13x\), and the sum of the constant terms is \(1 + 5=6\). So, \((7x + 1)+(6x + 5)=13x + 6\).

Step2: Subtract (2x + 3) from the sum

We subtract \((2x + 3)\) from \(13x + 6\). This means we have \((13x + 6)-(2x + 3)\). Distribute the negative sign: \(13x+6 - 2x-3\). Now, combine like terms. The \(x\)-terms: \(13x-2x = 11x\), and the constant terms: \(6 - 3=3\). So the result is \(11x + 3\).

Answer:

\(11x + 3\)