What is the answer to x/(x-4)= 4/(x-4)+4 ?

The answer to x/(x-4)= 4/(x-4)+4 is No Solution

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x/(x-4)= 4/(x-4)+4

\frac{x}{x - 4} = \frac{4}{x - 4} + 4

No Solution

Solution steps

\frac{x}{x - 4} = \frac{4}{x - 4} + 4

Multiply both sides by

x - 4

x = 4 + 4 (x - 4)

Expand

4 + 4 (x - 4) : 4 x - 12

x = 4 x - 12

Move

4 x

to the left side

- 3 x = - 12

Divide both sides by

- 3

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

No Solution

\frac{1}{3 x - 1} = \frac{1}{5}

x, y + \frac{1}{x} = 0

\frac{2 + 3}{( 2 x + 1 ) ( 2 x - 1 )} = 3

8 x - x^{- 2} = 0

12 - \frac{25}{x} = 4 + \frac{7}{x}

What is the answer to x/(x-4)= 4/(x-4)+4 ?
The answer to x/(x-4)= 4/(x-4)+4 is No Solution
Solve for x: x/(x-4)= 4/(x-4)+4
The solution is No Solution