Question

-5 + x = 2 1/2
How do I solve this problem

Answer 1

7 1/2

Explanation:

Hello!

To solve this we have to get x by itself

What we do to one side of the equation we have to do to the other

-5 + x = 2 1/2

To get -5 to the other side we have to add 5 to make it zero

What we do to the left side we have to do to the right

-5 + 5 + x = 2 1/2 + 5

Simplify

0 + x = 7 1/2

We can drop the 0

x = 7 1/2

The answer is 7 1/2

Hope this helps!

Answer 2

x = 15/2

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