Question

Consider the equation 5x+10=30 and 5(x+10)=30 Do they have the same solution? Why or why not?

Answer 1

They don't because using the order of operations one would be answered differently than the other

Answer 2

5x+10=30                               5(x+10)=30 
    - 10  -10                              5x + 50 = 30
 
5x = 20                                         -50    -50

x = 4                                          5x = - 20
                                                      x = -4

They do not have the same solutions because  4 is not equal to -4