SOLUTION: what is (2x+29 over 3) = (x+44 over 8) +2. solve for x. Step by step instructions would be really super! Thank you :)

Algebra ->  Linear-equations -> SOLUTION: what is (2x+29 over 3) = (x+44 over 8) +2. solve for x. Step by step instructions would be really super! Thank you :)       Log On


   

Question 713104: what is (2x+29 over 3) = (x+44 over 8) +2. solve for x. Step by step instructions would be really super! Thank you :)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%2B29%29%2F3 = %28x%2B44%29%2F8 + 2. solve for x.
multiply by 24 to get rid of the denominators
24*%282x%2B29%29%2F3 = 24*%28x%2B44%29%2F8 + 24(2)
cancel the denominators
8(2x+29) = 3(x+44) + 48
16x + 232 = 3x + 132 + 48
16x - 3x = 132 + 48 - 232
13x = -52
x = -52/13
x = -4
:
;
Check this in the original equation, replace x with -2
%282%28-4%29%2B29%29%2F3 = %28-4%2B44%29%2F8 + 2.
I'll let you do the math here to confirm our solution of x = -4