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

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

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

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

x = 2

Solution steps

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

Cross multiply

2 x^{2} = 2 x^{2} + 2 x - 4

Subtract

2 x^{2} + 2 x

from both sides

2 x^{2} - (2 x^{2} + 2 x) = 2 x^{2} + 2 x - 4 - (2 x^{2} + 2 x)

Simplify

- 2 x = - 4

Divide both sides by

- 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2, x = 0

Combine undefined points with solutions:

x = 2

\frac{x - 8}{x + 7} = \frac{5}{4}

a, x = - \frac{b}{2 a}

\frac{x - 6}{x + 1} = \frac{9}{5}

\frac{5}{x} = \frac{10}{3 x} + 4

2 - \frac{5}{3 x - 7} = 2

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