Answer:
Explanation:
To solve the equation x/2 + 1 1/2 = x - 2, we need to isolate the variable x.
First, let's simplify the equation by adding the fractions on the left side. The mixed number 1 1/2 can be written as 3/2.
So, the equation becomes:
x/2 + 3/2 = x - 2
Next, we can eliminate the fractions by multiplying both sides of the equation by 2. This will give us:
2(x/2 + 3/2) = 2(x - 2)
Simplifying further, we get:
x + 3 = 2x - 4
Now, we can solve for x by subtracting x from both sides of the equation:
x + 3 - x = 2x - 4 - x
Simplifying again, we have:
3 = x - 4
To isolate x, we can add 4 to both sides:
3 + 4 = x - 4 + 4
This gives us:
7 = x
Therefore, the solution to the equation x/2 + 1 1/2 = x - 2 is x = 7.