SOLUTION: (3t-1)/4=(8t+3)/8 +(3) Solve for t I'm not sure how to isolate the variable

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Question 1047883: (3t-1)/4=(8t+3)/8 +(3)
Solve for t
I'm not sure how to isolate the variable

Found 3 solutions by advanced_Learner, MathLover1, addingup:
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
multiply 8
6t-2=8t+3+24
-29=2t

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

%283t-1%29%2F4=%288t%2B3%29%2F8+%2B3.....first move %283t-1%29%2F4 to the right and 3 to the left side

-3=%288t%2B3%29%2F8-%283t-1%29%2F4

-3=%288t%2B3%29%2F8-2%283t-1%29%2F%282%2A4%29

-3=%288t%2B3%29%2F8-%286t-2%29%2F8

-3=%288t%2B3-%286t-2%29%29%2F8

-3=%288t%2B3-6t%2B2%29%2F8

-3%2A8=8t-6t%2B5

-24=8t-6t%2B5

-24-5=2t

-29=2t

t=-29%2F2


Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
%283t-1%29%2F4+=+%288t%2B3%29%2F8+%2B%283%29
%283t-1%29%2F4+=+%288t%2B3%29%2F8%2B%2824%2F8%29
%283t-1%29%2F4+=+%288t%2B3%2B24%29%2F8 = %283t-1%29%2F4+=+%288t%2B27%29%2F8
now let's multiply both sides times 8:
8%283t-1%29%2F4+=+8%288t%2B27%29%2F8
On the left 8/4=2 and on the right 8/8, the eights cancel each other, and we have:
2%283t-1%29+=+8t%2B27
6t-2+=+8t%2B27
-29+=+2t
Divide both sides by 2. Oh, and flip it so the unknown is on the left, and you have your answer:
:
t = 29/2 or decimals: 14.5
:
John