Posted by math help on .
a) 3(x+1)+x+2=2(2x+1)+3
I distributed the equation and got 5=5 as my final answer.
b) DON'T UNDERSTAND
is the resulting equation from part (a) always true,sometimes ture, or never true? Explain your reasoning.

math 
math help,
please help me

math 
Reiny,
If you solve an equation and your variables drop out like in the one above, two cases are possible
1. the resulting statement is true , in which case your equation was an "identity" , and it is true for all values of the variable
or
2. the resulting statement is false, in which case there is no solution at all to your equation
e.g. If your equation had been
3(x+1)+x+2=2(2x+1)+2
you would end up with
5 = 4, a false statement.
Thus your equation would have no solution.
So for your given equation, the statement is always true.