What is the answer to x/(x-6)+6= 6/(x-6) ?

The answer to x/(x-6)+6= 6/(x-6) is No Solution

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x/(x-6)+6= 6/(x-6)

\frac{x}{x - 6} + 6 = \frac{6}{x - 6}

No Solution

Solution steps

\frac{x}{x - 6} + 6 = \frac{6}{x - 6}

Multiply both sides by

x - 6

x + 6 (x - 6) = 6

Expand

6 (x - 6) : 6 x - 36

x + 6 x - 36 = 6

Add similar elements:

x + 6 x = 7 x

7 x - 36 = 6

Move

36

to the right side

7 x = 42

Divide both sides by

7

x = 6

Verify Solutions

Find undefined (singularity) points:

x = 6

Since the equation is undefined for:

6

No Solution

a x b = \frac{c}{d}, d

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

\frac{5}{3 x + 6} = \frac{2}{9 x}

\frac{2700}{9} = \frac{3200}{x}

0 = 2 x - \frac{1}{x ^{2}}

What is the answer to x/(x-6)+6= 6/(x-6) ?
The answer to x/(x-6)+6= 6/(x-6) is No Solution
Solve for x: x/(x-6)+6= 6/(x-6)
The solution is No Solution