Solve and Determine if the equation has one, none or infinite solutions.

Question

-5(x - 1) = 5 - 5x

Answer 1

To solve the equation, let's start by distributing the -5 on the left side:

-5(x - 1) = 5 - 5x

-5x + 5 = 5 - 5x

Now, let's simplify the equation:

-5x + 5 = 5 - 5x

Since the variable terms are on both sides of the equation, we can add 5x to both sides to eliminate the variable terms on the right side:

-5x + 5 + 5x = 5 - 5x + 5x

Combine like terms:

5 = 5

In this case, we obtained a true statement (5 = 5), which means that the equation holds true for any value of x. Therefore, the equation has an infinite number of solutions.