SOLUTION: what is the value of x in the equation 4(2x+1)=27+3(2x-5)

Algebra ->  Systems-of-equations -> SOLUTION: what is the value of x in the equation 4(2x+1)=27+3(2x-5)      Log On


   

Question 915246: what is the value of x in the equation 4(2x+1)=27+3(2x-5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4%282x%2B1%29=27%2B3%282x-5%29 Start with the given equation.


8x%2B4=27%2B6x-15 Distribute.


8x%2B4=6x%2B12 Combine like terms on the right side.


8x=6x%2B12-4 Subtract 4 from both sides.


8x-6x=12-4 Subtract 6x from both sides.


2x=12-4 Combine like terms on the left side.


2x=8 Combine like terms on the right side.


x=%288%29%2F%282%29 Divide both sides by 2 to isolate x.


x=4 Reduce.


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

Answer:

So the solution is x=4


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim