simplify and solve this equation for q: 3q+ 5 + 2q - 5 =65

3q+ 5 + 2q - 5 =65

5q = 65

q =13

To solve the equation 3q + 5 + 2q - 5 = 65 for q, follow these steps:

Step 1: Combine like terms on both sides of the equation.
Combine the terms with q together and the constant terms together.
On the left side, combine 3q + 2q to get 5q.
On the right side, combine 5 - 5 to get 0.

So, the equation becomes: 5q + 0 = 65.

Step 2: Simplify the equation.
Since any number multiplied by 0 is always 0, the equation can be further simplified to:

5q = 65.

Step 3: Solve for q.
To solve for q, divide both sides of the equation by 5 to isolate q.
Dividing both sides by 5 gives:

q = 65/5.

The simplified form is:

q = 13.

Therefore, the solution to the equation 3q + 5 + 2q - 5 = 65 is q = 13.