What is the answer to x/(x-2)= 2/(x-2)+3 ?

The answer to x/(x-2)= 2/(x-2)+3 is No Solution

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x/(x-2)= 2/(x-2)+3

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

No Solution

Solution steps

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

Multiply both sides by

x - 2

x = 2 + 3 (x - 2)

Expand

2 + 3 (x - 2) : 3 x - 4

x = 3 x - 4

Move

3 x

to the left side

- 2 x = - 4

Divide both sides by

- 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

2 = \frac{5}{x}

\frac{6}{x} = \frac{2}{3}

\frac{8}{x + 3} + \frac{3}{x + 8} = 1

16 = \frac{1}{x ^{2}}

\frac{x ^{2}}{x + 120} = 60

What is the answer to x/(x-2)= 2/(x-2)+3 ?
The answer to x/(x-2)= 2/(x-2)+3 is No Solution
Solve for x: x/(x-2)= 2/(x-2)+3
The solution is No Solution