Solve and check: (1) / (x 3) = (x 10) / (x - 2) from least to greatest, the solutions are x = ? and x = ?

If you would like to solve 1 / (x + 3) = (x + 10) / (x - 2), you can do this using the following steps:

1 / (x + 3) = (x + 10) / (x - 2)

1 * (x - 2) = (x + 10) * (x + 3)

x - 2 = x^2 + 3x + 10x + 30

0 = x^2 + 13x + 30 - x + 2

0 = x^2 + 12x + 32

0 = (x + 8) * (x + 4)

1. x = - 8

2. x = - 4

The correct result would be x = - 8 and x = - 4.