What is the answer to (x-3)/x = 9/10 ?

The answer to (x-3)/x = 9/10 is x=30

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(x-3)/x = 9/10

\frac{x - 3}{x} = \frac{9}{10}

x = 30

Solution steps

\frac{x - 3}{x} = \frac{9}{10}

Cross multiply

10 x - 30 = x \cdot 9

Move

30

to the right side

10 x = x \cdot 9 + 30

Move

x 9

to the left side

x = 30

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 30

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

\frac{7}{9} = \frac{x + 3}{4 - x}

\frac{x}{2} + \frac{12}{x} = 5

\frac{x - 2}{x - 9} = \frac{5}{6}

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