To solve the equation 2x + 17 = 2x + 1 + 3 + 12, we first simplify the right side.
On the right side, we combine the constants:
- 1 + 3 + 12 = 16
Now the equation reads:
2x + 17 = 2x + 16
Next, we want to isolate the variable x. We can start by subtracting 2x from both sides:
2x + 17 – 2x = 2x + 16 – 2x
This simplifies to:
17 = 16
This statement is not true; it’s a contradiction. This means there is no value of x that will satisfy the equation. Therefore, the solution set is empty.
Conclusion: The equation has no solution.