SOLUTION: I need help with solving this exponential equation (6/27)x+1 =(3/4)x-1

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Question 129218: I need help with solving this exponential equation
(6/27)x+1 =(3/4)x-1
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
%286%2F27%29x%2B1+=%283%2F4%29x-1.............multiply both sides by 27%2A4
27%2A4%286%2F27%29x%2B1%2A27%2A4+=+27%2A4%283%2F4%29x+-1%2A27%2A4.............
.............
4%2A6x+%2B+108+=+27%2A3x+-108.............
24x+%2B+108+=+81x+-108.............
108+%2B+108+=+81x+-24x.............
216+=+57x.............
216%2F57+=+x.............
+x+=+3.78.............

check:
%286%2F27%293.78+%2B1+=%283%2F4%293.78+-1.............
%280.22%293.78+%2B1+=%280.75%293.78+-1.............
0.83+%2B1+=+2.83-1.............
1.83+=+1.83.............