Ten times the sum of half a number amd 6 is 8?

The number is - 10.4

First we need to define the terms so

n = a number

Next we want to rewrite the sentence in standard form

10 (.5n + 6) = 8

Distribute the 10

10 (.5n) + 60 = 8

5n + 60 = 8

Subtract 60 from both sides

5n = - 52

Divide both sides by 5

n = - 10.4

Now we can check but substituting - 10.4 for n in the original equation

10 (-10.4/2 + 6) = 8

10 (-5.2 + 6) = 8

10 (.8) = 8

8 = 8

This is true so we know that the number is - 10.4