SOLUTION: Solve. 1/x-6 + 7 = 8/x-6

Question 97939: Solve.
1/x-6 + 7 = 8/x-6
Found 2 solutions by anjali_yamini, jim_thompson5910:
Answer by anjali_yamini(27) (Show Source): You can put this solution on YOUR website!

(1/x)-6+7 = (8/x)-6
-6+7+6 = (8/x)-(1/x)
7 = 7/x
7/7 = x
1 = x

check :
(1/x)-6+7
= (1/1)-6+7
= 1+1
= 2

(8/x) - 6
=(8/1)-6
= 8-6
= 2
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Multiply both sides by the LCD

Distribute and multiply

Distribute and multiply again

Combine like terms on the left side

Add 41 to both sides

Combine like terms on the right side

Divide both sides by 7 to isolate x

Divide

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Answer:
So our answer is
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