If 0.5 x + 5 + 2 = x + 2 – 0.75, then the value of x is:
5.5
9.5
11.5
13.5
Correct Answer: 11.5
If 0.5 x + 5 + 2 = x + 2 – 0.75, then the value of x is:
A. 5.5
B. 9.5
C. 11.5
D. 13.5
Explanation:
0.5 x + 5 + 2 = x + 2 – 0.75
=> 0.5 x + 5 = x – 0.75
=> 5 + 0.75 = x – 0.5x
OR x-0.5x=5+0.75
=> 0.5x=5.75 =
=> x=5.75/0.5
=> x=11.5
Another Method:
Let’s solve the given equation:
0.5 x + 5 + 2 = x + 2 – 0.75
We can simplify the equation by combining like terms:
0.5 x + 7 = x + 1.25
Subtracting 0.5 x from both sides, we get:
7 = 0.5 x + 1.25
Subtracting 1.25 from both sides, we get:
5.75 = 0.5 x
Multiplying both sides by 2, we get:
11.5 = x
Therefore, the value of x is 11.5.
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