SOLUTION: what is the answer in finding x in this equation:3x-3(5-2x)=-7(4-x).and what is his checking operation?

Algebra ->  Equations -> SOLUTION: what is the answer in finding x in this equation:3x-3(5-2x)=-7(4-x).and what is his checking operation?      Log On


   

Question 580500: what is the answer in finding x in this equation:3x-3(5-2x)=-7(4-x).and what is his checking operation?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
3x-3%285-2x%29=-7%284-x%29 Start with the given equation.


3x-15%2B6x=-28%2B7x Distribute.


9x-15=-28%2B7x Combine like terms on the left side.


9x=-28%2B7x%2B15 Add 15 to both sides.


9x-7x=-28%2B15 Subtract 7x from both sides.


2x=-28%2B15 Combine like terms on the left side.


2x=-13 Combine like terms on the right side.


x=%28-13%29%2F%282%29 Divide both sides by 2 to isolate x.


----------------------------------------------------------------------

Answer:

So the solution is x=-13%2F2


To perform the check, simply plug the answer back into the original equation and simplify.
If you get a true equation as the final result, then the answer is verified.
I'll let you perform the check.