SOLUTION: Hi, I am having trouble answering this problem -5x-10=2-(x+4) I'm not sure if I'm supposed to multiply the 2 and x then the 2 and 4 using the distributive property. Or if I'm suppo

Algebra ->  Equations -> SOLUTION: Hi, I am having trouble answering this problem -5x-10=2-(x+4) I'm not sure if I'm supposed to multiply the 2 and x then the 2 and 4 using the distributive property. Or if I'm suppo      Log On


   

Question 351377: Hi, I am having trouble answering this problem -5x-10=2-(x+4) I'm not sure if I'm supposed to multiply the 2 and x then the 2 and 4 using the distributive property. Or if I'm supposed to subtract 2 from x and 4. I tried subtracting and got the answer of 3.5, but then I checked the problem and it was wrong. ( I tried using the distributive property, but subtracting instead of multiplying.) I am very confused can you please help me by going through the steps? Very much appreciated, Kayla.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
-5x-10=2-%28x%2B4%29 Start with the given equation.


-5x-10=2-x-4 Distribute.


-5x-10=-x-2 Combine like terms on the right side.


-5x=-x-2%2B10 Add 10 to both sides.


-5x%2Bx=-2%2B10 Add x to both sides.


-4x=-2%2B10 Combine like terms on the left side.


-4x=8 Combine like terms on the right side.


x=%288%29%2F%28-4%29 Divide both sides by -4 to isolate x.


x=-2 Reduce.


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

Answer:

So the solution is x=-2


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim