What is the answer to 4/(x-4)=7+x/(x-4) ?

The answer to 4/(x-4)=7+x/(x-4) is No Solution

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4/(x-4)=7+x/(x-4)

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

No Solution

Solution steps

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

Multiply both sides by

x - 4

4 = 7 (x - 4) + x

Switch sides

7 (x - 4) + x = 4

Expand

7 (x - 4) + x : 8 x - 28

8 x - 28 = 4

Move

28

to the right side

8 x = 32

Divide both sides by

8

x = 4

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

No Solution

- 3 = \frac{5 x}{x ^{2} - 4}

x \frac{a x + b}{c x + d} = 2

\frac{x - 3}{x} = \frac{4}{5}

\frac{5}{2 x} + \frac{x + 7}{x + 4} = 2

\frac{x - 2}{x ^{2} - 4} = 0

What is the answer to 4/(x-4)=7+x/(x-4) ?
The answer to 4/(x-4)=7+x/(x-4) is No Solution
Solve for x: 4/(x-4)=7+x/(x-4)
The solution is No Solution