Question

How do you solve `-7/9x-2=3`?

Answer 1

`x=-45/7`

Explanation:

`"add 2 to both sides"`

`-7/9xcancel(-2)cancel(+2)=3+2`

`rArr-7/9x=5`

`"multiply both sides by 9 to eliminate the fraction"`

`cancel(9)xx-7/cancel(9)x=45`

`rArr-7x=45`

`"divide both sides by - 7"`

`(cancel(-7) x)/cancel(-7)=-45/7`

`rArrx=-45/7`

`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.

`-cancel(7)/9xx-45/cancel(7)-2=45/9-18/9=3=" right side"`

`rArrx=-45/7" is the solution"`