What is the answer to 2/(x-2)=7+x/(x-2) ?

The answer to 2/(x-2)=7+x/(x-2) is No Solution

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2/(x-2)=7+x/(x-2)

\frac{2}{x - 2} = 7 + \frac{x}{x - 2}

No Solution

Solution steps

\frac{2}{x - 2} = 7 + \frac{x}{x - 2}

Multiply both sides by

x - 2

2 = 7 (x - 2) + x

Switch sides

7 (x - 2) + x = 2

Expand

7 (x - 2) + x : 8 x - 14

8 x - 14 = 2

Move

14

to the right side

8 x = 16

Divide both sides by

8

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

\frac{x ^{2}}{x + 6} - 3 = 0

\frac{15 x - 5}{3 x - 1} = 5

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

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

\frac{1}{x + 2} + 3 = \frac{13}{x + 2}

What is the answer to 2/(x-2)=7+x/(x-2) ?
The answer to 2/(x-2)=7+x/(x-2) is No Solution
Solve for x: 2/(x-2)=7+x/(x-2)
The solution is No Solution