What is the solution to the equation?

Question

3q + 5 = –2q + 20

Question 5 options:

q = 3

q = 5

q = 15

q = 25

Answer 1

To solve the equation 3q + 5 = -2q + 20, we can start by moving all the terms with q to one side of the equation. Let's add 2q to both sides:

3q + 5 + 2q = -2q + 20 + 2q

Combining like terms, we get:

5q + 5 = 20

Next, we can subtract 5 from both sides:

5q + 5 - 5 = 20 - 5

Simplifying, we have:

5q = 15

Finally, we can divide both sides by 5 to isolate q:

(5q)/5 = 15/5

Simplifying, we find:

q = 3

So the solution to the equation is q = 3.