Question

How do you solve `2(x+1)=2x+2`?

Answer 1

Any real number or `(-oo, oo)`.

Explanation:

`2(x+1) = 2x + 2`

First, we want to distribute the `2` in `2(x+1)`:
`2 * x = 2x`

`2 * 1 = 2`

When we combine these we get:
`2x + 2`

Now let's put this back into the equation:
`2x + 2 = 2x + 2`

Now subtract `2` from both sides of the equation:
`2x = 2x`

Divide both sides by `2`:
`x = x`

Since both sides of the equation are the same, we know that `x = x`, so the answer is any real number or `(-oo, oo)`.

Hope this helps!

Answer 2

`"infinite solutions"`

Explanation:

`"note that "2(x+1)=2x+2`

`rArr2x+2=2x+2`

`"since both sides of the equation are equal then any value"`
`"of x is a solution to the equation"`

`rArr" there are an infinite number of solutions"`