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

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

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

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

No Solution

Solution steps

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

Multiply both sides by

x - 2

2 = 3 (x - 2) + x

Switch sides

3 (x - 2) + x = 2

Expand

3 (x - 2) + x : 4 x - 6

4 x - 6 = 2

Move

6

to the right side

4 x = 8

Divide both sides by

4

x = 2

Verify Solutions

Find undefined (singularity) points:

x = 2

Since the equation is undefined for:

2

No Solution

l, a = \frac{r}{2 l}

\frac{4}{x - 6} = \frac{2}{x + 2}

\frac{x - 3}{x + 5} = \frac{2}{x - 1}

\frac{3 x}{x + 3} = 5 - \frac{9}{x + 3}

\frac{5}{3 x + 2} = \frac{4}{3 x + 1}

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