SOLUTION: Hi, please help me find x in this equation: {{{2+5/(x-4) = (x+1)/(x-4)}}}

Question 993911: Hi, please help me find x in this equation:
Answer by ikleyn(52780) (Show Source): You can put this solution on YOUR website!
.
= .

Multiply both sides by (x-4).

You will get

2*(x-4) + 5 = x+1.

Simplify:

2x - 8 + 5 = x + 1.

x = 4.

But x = 4 is prohibited, because the original equation has (x-4) in the denominators. It is prohibited to divide by zero.

Thus the equation has no solutions.

The plot of

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