Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.

Question

Question 7 options:

A)

q = 15

B)

q = 23

C)

q = 11

D)

q = 13

Answer 1

To simplify and solve the equation \(3q + 5 + 2q - 5 = 65\), we start by combining like terms.

1. Combine the \(q\) terms: \[ 3q + 2q = 5q \]

2. Combine the constant terms: \[ 5 - 5 = 0 \]

So, the equation simplifies to: \[ 5q = 65 \]

Next, to solve for \(q\), divide both sides by 5: \[ q = \frac{65}{5} = 13 \]

Therefore, the solution is: \[ \text{D) } q = 13 \]