What is the answer to x/(x-7)= 7/(x-7)+8 ?

The answer to x/(x-7)= 7/(x-7)+8 is No Solution

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

\frac{x}{x - 7} = \frac{7}{x - 7} + 8

No Solution

Solution steps

\frac{x}{x - 7} = \frac{7}{x - 7} + 8

Multiply both sides by

x - 7

x = 7 + 8 (x - 7)

Expand

7 + 8 (x - 7) : 8 x - 49

x = 8 x - 49

Move

8 x

to the left side

- 7 x = - 49

Divide both sides by

- 7

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 7

Since the equation is undefined for:

7

No Solution

\frac{x + 4}{x - 2} = 3

\frac{15}{x} = - 5

\frac{4}{5} = \frac{20}{x}

y, x = \frac{y + 1}{2 y + 1}

x^{3} + 3 = \frac{16}{x ^{2} - 3}

What is the answer to x/(x-7)= 7/(x-7)+8 ?
The answer to x/(x-7)= 7/(x-7)+8 is No Solution
Solve for x: x/(x-7)= 7/(x-7)+8
The solution is No Solution