Answer:
x = 15/2
Step-by-step explanation:
Solve for x:
x - 5 = 2 + 1/2
Hint: | Put the fractions in 2 + 1/2 over a common denominator.
Put 2 + 1/2 over the common denominator 2. 2 + 1/2 = (2×2)/2 + 1/2:
x - 5 = (2×2)/2 + 1/2
Hint: | Multiply 2 and 2 together.
2×2 = 4:
x - 5 = 4/2 + 1/2
Hint: | Add the fractions over a common denominator to a single fraction.
4/2 + 1/2 = (4 + 1)/2:
x - 5 = (4 + 1)/2
Hint: | Evaluate 4 + 1.
4 + 1 = 5:
x - 5 = 5/2
Hint: | Isolate terms with x to the left hand side.
Add 5 to both sides:
x + (5 - 5) = 5/2 + 5
Hint: | Look for the difference of two identical terms.
5 - 5 = 0:
x = 5/2 + 5
Hint: | Put the fractions in 5/2 + 5 over a common denominator.
Put 5/2 + 5 over the common denominator 2. 5/2 + 5 = 5/2 + (2×5)/2:
x = 5/2 + (2×5)/2
Hint: | Multiply 2 and 5 together.
2×5 = 10:
x = 5/2 + 10/2
Hint: | Add the fractions over a common denominator to a single fraction.
5/2 + 10/2 = (5 + 10)/2:
x = (5 + 10)/2
Hint: | Evaluate 5 + 10.
5 + 10 = 15:
Answer: x = 15/2
