Question

How do you solve `\frac { 2} { 5} ( x + 10) = - 12`?

Answer 1

-40

Explanation:

multiply both sides by 5:

`2(x+10) = -60`

On the left, multiply through by 2:

`2x + 20 = -60`

subtract 20 from both sides:

`2x = -80`

...and divide by 2:

`x = -40`

Answer 2

`x=-40`

Explanation:

`"multiply both sides of the equation by 5 ,this will"`
`"eliminate the fraction"`

`cancel(5)xx2/cancel(5)(x+10)=5xx-12`

`rArr2(x+10)=-60`

`rArr2x+20=-60`

`"subtract 20 from both sides"`

`2xcancel(+20)cancel(-20)=-60-20`

`rArr2x=-80`

`"divide both sides by 2"`

`(cancel(2) x)/cancel(2)=-80/2`

`rArrx=-40`

`color(blue)"As a check"`

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

`2/5(-40+10)=2/5xx-30=-12=" right side"`

`rArrx=-40" is the solution"`