SOLUTION: 2x + 5 / 3 = 5x + 6 Can someone help me??

Algebra ->  Equations -> SOLUTION: 2x + 5 / 3 = 5x + 6 Can someone help me??      Log On


   

Question 140986: 2x + 5 / 3 = 5x + 6
Can someone help me??
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Does the equation look like this: 2x%2B5%2F3=5x%2B6 ???


2x%2B5%2F3=5x%2B6 Start with the given equation



%283%29%282x%2B5%2Fcross%283%29%29=%283%29%285x%2B6%29 Multiply both sides by the LCM of 3. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



6x%2B5=15x%2B18 Distribute and multiply the LCM to each side



6x=15x%2B18-5Subtract 5 from both sides


6x-15x=18-5 Subtract 15x from both sides


-9x=18-5 Combine like terms on the left side


-9x=13 Combine like terms on the right side


x=%2813%29%2F%28-9%29 Divide both sides by -9 to isolate x



x=-13%2F9 Reduce

--------------------------------------------------------------
Answer:
So our answer is x=-13%2F9 (which is approximately x=-1.444 in decimal form)