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

The answer to (2x)/(x-3)= 3/x+2 is x=-3

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

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

x = - 3

Solution steps

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

Multiply by LCM

2 x^{2} = 2 x^{2} - 3 x - 9

Subtract

2 x^{2} - 3 x

from both sides

2 x^{2} - (2 x^{2} - 3 x) = 2 x^{2} - 3 x - 9 - (2 x^{2} - 3 x)

Simplify

3 x = - 9

Divide both sides by

3

x = - 3

Verify Solutions

Find undefined (singularity) points:

x = 3, x = 0

Combine undefined points with solutions:

x = - 3

\frac{1}{x + 1} + 4 = \frac{13}{x + 1}

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

u, T = \frac{v}{1 + uv w}

\frac{x ^{2}}{x ^{2} - 9} = 0

\frac{20}{54} = \frac{12}{x}

What is the answer to (2x)/(x-3)= 3/x+2 ?
The answer to (2x)/(x-3)= 3/x+2 is x=-3
Solve for x: (2x)/(x-3)= 3/x+2
The solution is x=-3