Question 230079
g+(g-2)=126
1g+1g-2=126


Combine like terms:
2g-2=126


Now, you need to "undo" TWO operations.  Notice that the g was MULTIPLIED by 2, then 2 was SUBTRACTED from this, resulting in 126.  You need to do the OPPOSITE operations, IN REVERSE ORDER to undo this situation and leave the g all alone.


First, add +2 to each side:
2g-2 +2 = 126+2
2g=128


Now, UNDO the multiplication by 2 by DIVIDING both sides by 2:
{{{(2g)/2=128/2}}}
{{{g=64}}}


Check if you want to:

g + (g-2)= 126
64+(64-2)=126
64+62=126  


It checks!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus