Question

How do you solve `-5(2x-7)+24=89`?

Answer 1

`x=-3`

Explanation:

`" the first step is to distribute the bracket"`

`rArr-10x+35+24=89`

`rArr-10x+59=89larr" simplifying left side"`

`"subtract 59 from both sides"`

`-10xcancel(+59)cancel(-59)=89-59`

`rArr-10x=30`

`"divide both sides by - 10"`

`(cancel(-10) x)/(cancel(-10))=30/(-10)`

`rArrx=-3`

`color(blue)"As a check"`

Substitute this value into the left side of the equation and if equal to the right side then it is the solution

`-5((2xx-3)-7)+24=(-5xx-13)+24`

`=65+24=89=" right side"`

`rArrx=-3" is the solution"`