SOLUTION: determine whether the equation is an identity, a conditional equation or an inconsistent equation. -4(x+6)+6=2x-6(x+7)

Algebra ->  Equations -> SOLUTION: determine whether the equation is an identity, a conditional equation or an inconsistent equation. -4(x+6)+6=2x-6(x+7)      Log On


   

Question 107661: determine whether the equation is an identity, a conditional equation or an inconsistent equation.
-4(x+6)+6=2x-6(x+7)
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%28x%2B6%29%2B6=2x-6%28x%2B7%29 Start with the given equation



-4x-24%2B6=2x-6x-42 Distribute


-4x-18=2x-6x-42 Combine like terms on the left side


-4x-18=-4x-42 Combine like terms on the right side


-4x=-4x-42%2B18Add 18 to both sides


-4x%2B4x=-42%2B18 Add 4x to both sides


0x=-42%2B18 Combine like terms on the left side


0x=-24 Combine like terms on the right side


0=-24 Simplify

Since this equation is never true for any x value, this means there are no solutions.


So the equation is inconsistent

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the equation is an identity, a conditional equation or an inconsistent equation.
-4(x+6)+6=2x-6(x+7)
-4x-24+6 = 2x-6x-42
-4x-18 = -4x-42
-18 = -42
Inconsistent
=================
Cheers,
Stan H.