You just performed balanced moves to try to isolate x, and found that −5=−3. How many solutions does this equation have?

5(x−1)
=
5x−3

5x − 5
=
5x − 3

5x

5x

−5
=
−3

No solutions

One solution

Infinitely many solutions

1 answer

The equation you simplified leads to the statement \(-5 = -3\), which is a false statement. Since this is not true, it indicates that there are no values of \(x\) that can satisfy the original equation.

In terms of the solutions to the equation, the correct answer is:

No solutions.