SOLUTION: 7+2/3X=-1

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Question 50336This question is from textbook ALGEBRA 1
: 7+2/3X=-1 This question is from textbook ALGEBRA 1

Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
%287%29%2B+%282%2F3X%29=%28-1%29%29
(7)(3x) + (3x)(2/3x) = (3x)(-1)
[Multiply each term by the lowest common denominator: LCD = 3x]
.
21x+2=-3x [Combine like-terms and cancel wherever possible]
21x+2=-3x [Solve for x]
21x+3x+2=-3x+3x
24x+2=0
24x+2-2=0-2
24x=-2
24x/24=-2/24
x=-1/12
.
Check by plugging (x=1/12) back into the original equation
%287%29%2B+%282%2F3X%29=%28-1%29%29
%287%29%2B+%282%2F%283%29%28-1%2F12%29%29=%28-1%29%29
%287%29%2B+%282%2F%283%29%28-1%2F12%29%29=%28-1%29%29
-1=-1 [checks out]