Question

How many solutions does the equation `-2(x+3) = -2x-6` have?

Answer 1

The right side of the equation is only a different way of writing the left side, so any value of x will solve this equation.

Explanation:

The equation `-2(x+3)=-2x-6` does not have any specific solutions for the simple reason that the left and rigth sides are two representations of the same equation.

We have `-2(x+3)` means that each term inside the parenthesis should be multiplied with `-2`, i.e.
`-2(x+3)=-2*x-2*(+3)=-2x-6`
Which is exactly what the right side says.

Any value of x will, therefore, fulfill this equation.