How many solutions does the equation x+2 = 2x have
To find the number of solutions for the equation x + 2 = 2x, we will solve the equation algebraically:
Step 1: Start with the given equation: x + 2 = 2x.
Step 2: Subtract x from both sides of the equation to isolate the variable:
x - x + 2 = 2x - x
2 = x
Step 3: Now we have the equation x = 2.
So, the solution to the equation is x = 2.
Now, to determine the number of solutions, we look at whether the equation has a unique solution, infinitely many solutions, or no solution.
In this case, since we found a specific value (x = 2) that satisfies the equation, there is exactly one solution. Therefore, the equation x + 2 = 2x has only one solution.