Ten times the sum of half a number and 6 is 8. Find the number.

We can simplify the equation after writing it mathematically to obtain the answer.

Answer: The number is -10.4.

Let us see how we arrived at this expression.

Explanation:

Ten times the sum of half a number and 6 is 8 can be written as: 10 × (6 + x/2) = 8

⇒ 60 + 5x = 8 (By using distributive property)

⇒ 5x = 8 - 60 = - 52

⇒ x = - 52/5 = - 10.4

Hence, -10.4 is the number whose ten times the sum of half the number and 6 is 8.