1/2 a number is equal to the sum of three-fourths of the number and - 2. Find the number.

1/2 a number = x/2

the sum of three-fourths of the number and - 2: 3/4 + - 2 = - 5/4

We know that they're equal, so:

x/2 = - 5/4

Multiply both sides by 2 to isolate the x and find the number:

x = - 5/2

Therefore, the number is - 5/2.