Half the difference of a number and 7 is 11. what is the number?

1/2 (x - 7) = 11

Distributive property.

0.5x - 3.5 = 11

Add 3.5 to both sides.

0.5x = 14.5

Multiply both sides by 2.

x = 29. (This is your answer.)

We can plug 29 into the original equation to verify.

1/2 (x - 7) = 11

1/2 (29 - 7) = 11

1/2 (22) = 11

11 = 11 √ This is correct.