Question

How do you solve `0.8( x - 8) = 6.4`?

Answer 1

`x=16`

Explanation:

Given
`color(white)("XXX")0.8(x-8)=6.4`

Multiply both sides by `10`
then divide both sides by `8`
(these steps could be combined as divide both sides by `0.8`)
`color(white)("XXX")8(x-8)=64`
`color(white)("XXX")(x-8)=8`

Add `8` to both sides
`color(white)("XXX")x=16`

Answer 2

`x = 16`

Explanation:

Firstly, expand out the bracket.

`0.8(x - 8) = 6.4`

`0.8x - (0.8 * 8) = 6.4`

`0.8x - 6.4 = 6.4`

Next, add `6.4` to both sides

`0.8x - 6.4 + 6.4 = 6.4 + 6.4`

`0.8x = 12.8`

Now, divide both sides by `0.8`

`(0.8 x)/0.8 = (12.8/0.8)`

`x = 16`