What is the answer to (x-5)/(2x)= 8/5 ?

The answer to (x-5)/(2x)= 8/5 is x=-25/11

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(x-5)/(2x)= 8/5

\frac{x - 5}{2 x} = \frac{8}{5}

x = - \frac{25}{11}

Decimal Notation

x = - 2.27272 \dots

Solution steps

\frac{x - 5}{2 x} = \frac{8}{5}

Cross multiply

5 x - 25 = 16 x

Move

25

to the right side

5 x = 16 x + 25

Move

16 x

to the left side

- 11 x = 25

Divide both sides by

- 11

x = - \frac{25}{11}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{25}{11}

x = 1 \frac{1}{x}

\frac{3 x - 2}{5 x + 4} = \frac{6}{7}

\frac{1}{y} + \frac{5}{y} = 0

\frac{6}{14} = \frac{5}{n}

\frac{5}{y} + 3 = 4

What is the answer to (x-5)/(2x)= 8/5 ?
The answer to (x-5)/(2x)= 8/5 is x=-25/11
Solve for x: (x-5)/(2x)= 8/5
The solution is x=-25/11