Question

How do you solve `-6( x + 1) + 4= 27- 8x`?

Answer 1

`x = 14.5` or `14 1/2`

Here's how I did it:

Explanation:

`-6(x+1)+4=27-8x`

The first thing we want to do is distribute `-6(x+1)`:
`-6 * x = -6x`

`-6 * 1 = -6`

Now let's put these back into the equation:
`-6x - 6 + 4 = 27 - 8x`

Simplify the left side:
`-6x - 2 = 27 - 8x`

Now add `color(red)(8x)` to both sides of the equation:
`-6x - 2 quadcolor(red)(+quad8x) = 27 - 8x quadcolor(red)(+quad8x)`

`2x - 2 = 27`

Now add `color(red)2` to both sides of the equation:
`2x - 2 quadcolor(red)(+quad2) = 27 quadcolor(red)(+quad2)`

`2x = 29`

Divide both sides by `color(red)2`:
`(2x)/color(red)2 = 29/color(red)2`

`x = 14.5` or `14 1/2`

Hope this helps!