SOLUTION: Hi, could you please explain to me how to solve for x in this equation?: x/2 + 17 = x - 33

Algebra ->  Equations -> SOLUTION: Hi, could you please explain to me how to solve for x in this equation?: x/2 + 17 = x - 33      Log On


   

Question 895977: Hi, could you please explain to me how to solve for x in this equation?: x/2 + 17 = x - 33
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the equation is x%2F2+%2B+17+=+x+-+33

The goal is to isolate x and get it to its own side all by itself.


x%2F2+%2B+17+=+x+-+33

x%2F2+=+x+-+33+-+17 Subtract 17 from both sides.

x%2F2+-+x+=+-+33+-+17 Subtract x from both sides.

x%2F2+-+%282x%29%2F2+=+-+33+-+17 Turn x into 2x/2 (to get the denominators the same)

%28x+-+2x%29%2F2+=+-+33+-+17 Combine the fractions

-x%2F2+=+-+33+-+17 Subtract the numerators

-x%2F2+=+-50 Combine like terms.

-x+=+-50%2A2 Multiply both sides by 2.

-x+=+-100 Multiply

x+=+100 Change the signs of both sides to completely isolate x


The final solution is x+=+100