Question

How do you solve `1-4(x+7)=-7`?

Answer 1

`x=-5`

Explanation:

`1-4(x+7)=-7`

Adding `4(x+7)` on both sides

`1-4(x+7)+4(x+7)=-7+4(x+7)`

or `1cancel(-4(x+7))+cancel(4(x+7))=-7+4(x+7)`

or `1=-7+4(x+7)` - now adding `7` on both sides

`1+7=-7+7+4(x+7)`

or `1+7=cancel(-7)+cancel7+4(x+7)`

or `4(x+7)=8` dividing both sides by `4`

`4(x+7)/4=8/4=2`

or `x+7=2`

Now subtracting `-7` from both sides

`x+cancel7-cancel7=2-7=-5` or

`x=-5`