Question

2. Determine all real values of x such that: (x + 8) = (2x +16)?.

Answer 1

x=-8

Explanation:

To solve, you can factor the right side.

x+8 = 2(x+8)

Now if you try to divide by x+8, you will get this.

0 = 2

So this equation has no solutions - but wait!

You have to remember domain when dividing by an algebraic expression!

Since 0 is never equal to two, you must acknowledge that when dividing by an algebraic expression, the expression may be equivalent to zero. In this case, x+8 is equal to zero is x=-8, so the answer is x=-8.

Hopes this helps!

Answer 2

x = -8

Explanation:

(x + 8) = (2x + 16)

x + 8 = 2x + 16

take x from both sides 8 = x + 16

now take 16 from both sides -8 = x

x = -8