Question

How do you solve `0.4( 8x + 16) = 1.4- ( x + 2)`?

Answer 1

`x = -5/3 = -1 2/3`

Explanation:

First get rid of the brackets using the distributive law.

`" "0.4( 8x + 16) = 1.4- ( x + 2)`

`" "3.2x+6.4 = 1.4 -x-2`

Add `x` and subtract `6.4` on both sides.

`3.2x+xcancel(+6.4-6.4) = 1.4-6.4cancel( -x+x)-2`

`color(white)(xxxxxxxxxxx)4.2x = -7`

`color(white)(xxxxxxxxxxx)(4.2x)/4.2 = -7/4.2 = -70/42`

`color(white)(xxxxxxxxxxxxxx)x = -5/3`