Question

When you add the same number to each side of an equation, do you always get an equivalent equation? webasign?

Answer 1

Yes   you always do.

eg x - 2 = 8

x - 2 + 2 = 8 + 2

x = 10  
if we plug x = 10 into the original equation we se  that this fits:-

10 - 2 = 8