Question

How do you solve `−2(x − 5) = −4`?

Answer 1

`x=7`

Explanation:

`"distribute the bracket on the left side of the equation"`

`-2x+10=-4`

`"subtract 10 from both sides"`

`-2xcancel(+10)cancel(-10)=-4-10`

`-2x=-14`

`"divide both sides by "-2`

`(cancel(-2) x)/cancel(-2)=(-14)/(-2)`

`x=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.

`-2(7-5)=-2xx2=-4`

`rArrx=7" is the solution"`