SOLUTION: What value of x makes 4(x-2)+5x=2(3x-8) true?

Algebra ->  Equations -> SOLUTION: What value of x makes 4(x-2)+5x=2(3x-8) true?      Log On


   

Question 685288: What value of x makes 4(x-2)+5x=2(3x-8) true?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Distribute the 4 and 2
...
4x - 8 + 5x = 6x - 16
9x - 8 = 6x - 16
...
group x variables on the left
9x - 6x = -16 + 8
3x = -8
divide both sdies by 3
x = -8%2F3
...
Check
4(-8%2F3-2)+5-8%2F3=2(3(-8%2F3)-8)
4%28%28-8%2F3%29-2%283%2F3%29%29+%2B+-40%2F3+=+2%28-8-8%29
4%28-14%2F3%29%2B+-40%2F3+=+2%28-16%29
-56%2F3+%2B+-40%2F3+=+-32%29
-96%2F3+=+-32
-32+=+-32
correct
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.