SOLUTION: How do you solve for x in the following problem: 5+(1/x-2)=35? I've tried distributing all the way where I'm left with 1/x= 32 but I am getting confused on how to get the x by it

SOLUTION: How do you solve for x in the following problem: 5+(1/x-2)=35? I've tried distributing all the way where I'm left with 1/x= 32 but I am getting confused on how to get the x by it

Algebra.Com

Question 780942: How do you solve for x in the following problem: 5+(1/x-2)=35?
I've tried distributing all the way where I'm left with 1/x= 32 but I am getting confused on how to get the x by itself.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
5 + 1/x - 2 = 35
Common denominator = x - 2
5(x - 2) + 1 = 35(x - 2)
5x - 10 + 1 = 35x - 70
Collect like terms:
-30x = - 61
30x = 61
x = 61/30
x = 2 1/30
Hope this helps.
:-)
RELATED QUESTIONS
Please help with the following word problem! A plane flies 390 mph in still air. It... (answered by Alan3354)

i have to find the problem in the eyes of x How do I find: ax-b=c solve for x i... (answered by Fombitz)

19 - (2x+3)=2(x+3)+x I have tried to solve this equation but I keep getting the wrong... (answered by scott8148)

I must use the quadratic formula to solve each equation. The one I'm having trouble with (answered by Edwin McCravy)

Hello, I am in Geometry, and we are required to use algebra to solve for angles and... (answered by scott8148)

Hi! Given that x^2-14x+a=(x+b)^2 for all values of x, find the value of a and the... (answered by reviewermath,Okeke_Christian)

{{{y=(-0.095*x^3)+(2.5*x)+5}}} How can I modify this function to widen the graph... (answered by greenestamps)

If f(x)= 2/(x-1), then f^-1(x)= ? The way I tried solving this problem is by switching (answered by edjones,lwsshak3)

How do you solve the problem x^2=1/9? I tried recriprocals but I am still... (answered by arunpaul)