What is the answer to 2/(5x)= 7/(2x-3) ?

The answer to 2/(5x)= 7/(2x-3) is x=-6/31

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2/(5x)= 7/(2x-3)

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

x = - \frac{6}{31}

Decimal Notation

x = - 0.19354 \dots

Solution steps

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

Cross multiply

4 x - 6 = 35 x

Move

6

to the right side

4 x = 35 x + 6

Move

35 x

to the left side

- 31 x = 6

Divide both sides by

- 31

x = - \frac{6}{31}

Verify Solutions

Find undefined (singularity) points:

x = 0, x = \frac{3}{2}

Combine undefined points with solutions:

x = - \frac{6}{31}

2.5 = \frac{x}{( 0.5667 - x ) ( 1 - x )}

x, \frac{c}{x} = d + r

j (x) = \frac{5}{x - 2}

0.22 = 1 - (\frac{115000}{x})

y, - \frac{16 x}{y} = 1

What is the answer to 2/(5x)= 7/(2x-3) ?
The answer to 2/(5x)= 7/(2x-3) is x=-6/31
Solve for x: 2/(5x)= 7/(2x-3)
The solution is x=-6/31