Question

How many solutions are there to the equation `5(x+10)-25=5x+25`?

Answer 1

See a solution process below:

Explanation:

First, expand the terms in parenthesis on the left side of the equation:

`color(red)(5)(x + 10) - 25 = 5x + 25`

`(color(red)(5) * x) + (color(red)(5) * 10) - 25 = 5x + 25`

`5x + 50 - 25 = 5x + 25`

`5x + 25 = 5x + 25`

Because both sides of the equation are exactly the same and contain the `x` variable there are infinite number of solutions to this problem.

For any and every value of `x` the two sides of the equation will produce the same result.