What is the answer to x/(x-5)=(2x-4)/(2x) ?

The answer to x/(x-5)=(2x-4)/(2x) is x= 10/7

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x/(x-5)=(2x-4)/(2x)

\frac{x}{x - 5} = \frac{2 x - 4}{2 x}

x = \frac{10}{7}

Decimal Notation

x = 1.42857 \dots

Solution steps

\frac{x}{x - 5} = \frac{2 x - 4}{2 x}

Cross multiply

x^{2} = x^{2} - 7 x + 10

Subtract

x^{2} - 7 x

from both sides

x^{2} - (x^{2} - 7 x) = x^{2} - 7 x + 10 - (x^{2} - 7 x)

Simplify

7 x = 10

Divide both sides by

7

x = \frac{10}{7}

Verify Solutions

Find undefined (singularity) points:

x = 5, x = 0

Combine undefined points with solutions:

x = \frac{10}{7}

x, d = \frac{t}{x}

a, g = b + \frac{c}{a}

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

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

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

What is the answer to x/(x-5)=(2x-4)/(2x) ?
The answer to x/(x-5)=(2x-4)/(2x) is x= 10/7
Solve for x: x/(x-5)=(2x-4)/(2x)
The solution is x= 10/7