What is the answer to 3/x = 4/(2x-3) ?

The answer to 3/x = 4/(2x-3) is x= 9/2

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3/x = 4/(2x-3)

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

x = \frac{9}{2}

Decimal Notation

x = 4.5

Solution steps

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

Cross multiply

6 x - 9 = x \cdot 4

Move

9

to the right side

6 x = x \cdot 4 + 9

Move

x 4

to the left side

2 x = 9

Divide both sides by

2

x = \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{9}{2}

\frac{4}{2 x} + \frac{7}{3 x} = 1

\frac{y + 6}{y} - \frac{8}{7} = 0

\frac{y + 3}{y - 4} = \frac{3 y}{y + 1}

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

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