What is the answer to (2x}{x+6}=\frac{2x-6)/x ?

The answer to (2x}{x+6}=\frac{2x-6)/x is x=6

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(2x}{x+6}=\frac{2x-6)/x

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

x = 6

Solution steps

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

Cross multiply

2 x^{2} = 2 x^{2} + 6 x - 36

Subtract

2 x^{2} + 6 x

from both sides

2 x^{2} - (2 x^{2} + 6 x) = 2 x^{2} + 6 x - 36 - (2 x^{2} + 6 x)

Simplify

- 6 x = - 36

Divide both sides by

- 6

x = 6

Verify Solutions

Find undefined (singularity) points:

x = - 6, x = 0

Combine undefined points with solutions:

x = 6

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

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

\frac{6}{x} = 2

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

D, m = \frac{a}{D - 5 H}

What is the answer to (2x}{x+6}=\frac{2x-6)/x ?
The answer to (2x}{x+6}=\frac{2x-6)/x is x=6
Solve for x: (2x}{x+6}=\frac{2x-6)/x
The solution is x=6