Question

Solve for x: −2(x + 3) = −2(x + 1) − 4.

Answer 1

$-2(x + 3) = -2(x + 1) - 4$

$-2x-6=-2x-6$

$-2x-6+6=-2x-6+6$

$-2x=-2x$

$-2x+2x=-2x+2x$

$0=0$

"Both sides are equal".

"There are no real solution".

Answer 2

Hey there!

Let's solve our equation below.

-2(x+3)= -2(x+1)-4

Let's undistribute the parentheses.

-2x-6=-2x-2-4

We combine like terms.

-2x-6=-2x-6

We add 6 to both sides.

-2x=-2x

We divide both sides by -2

x=x

If, when solving an equation, you get one number or variable that equals itself, there are infinitely many solutions.

We can plug anything into this equation and it will always equal to same things, since x is just equal to whatever x value you want.

Therefore, there are infinitely many solutions.

I hope this helps!