Enter your answer and show all steps that you use to solve this problem in the space provided. Write an equation with a variable on both sides of the equal sign that has no solution. Solve the equation and explain why it has no solution. (3 points)
x + 2 = 2x - 3
To solve this equation, we need to isolate x on one side of the equation.
Subtract x from both sides to get:
2 = x - 3
Now, add 3 to both sides to get:
5 = x
So the solution to the equation is x = 5.
However, this equation has no solution because when we substitute x = 5 back into the original equation, we get:
5 + 2 = 2(5) - 3
7 = 10 - 3
7 = 7
This is a contradiction because 7 does not equal 7. Therefore, the equation x + 2 = 2x - 3 has no solution.