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.