What is the answer to (2x-3)/(5x)= 11/2 ?

The answer to (2x-3)/(5x)= 11/2 is x=-2/17

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(2x-3)/(5x)= 11/2

\frac{2 x - 3}{5 x} = \frac{11}{2}

x = - \frac{2}{17}

Decimal Notation

x = - 0.11764 \dots

Solution steps

\frac{2 x - 3}{5 x} = \frac{11}{2}

Cross multiply

4 x - 6 = 55 x

Move

6

to the right side

4 x = 55 x + 6

Move

55 x

to the left side

- 51 x = 6

Divide both sides by

- 51

x = - \frac{2}{17}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{2}{17}

\frac{14}{x} = \frac{7}{2}

\frac{8}{3 x} = \frac{1}{6}

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

y = 2 y^{- 1} + 3 y^{4}

\frac{400}{x} = \frac{160}{x - 3}

What is the answer to (2x-3)/(5x)= 11/2 ?
The answer to (2x-3)/(5x)= 11/2 is x=-2/17
Solve for x: (2x-3)/(5x)= 11/2
The solution is x=-2/17