What is the answer to (x-12)/x = 7/20 ?

The answer to (x-12)/x = 7/20 is x= 240/13

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(x-12)/x = 7/20

\frac{x - 12}{x} = \frac{7}{20}

x = \frac{240}{13}

Decimal Notation

x = 18.46153 \dots

Solution steps

\frac{x - 12}{x} = \frac{7}{20}

Cross multiply

20 x - 240 = x \cdot 7

Move

240

to the right side

20 x = x \cdot 7 + 240

Move

x 7

to the left side

13 x = 240

Divide both sides by

13

x = \frac{240}{13}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{240}{13}

\frac{20}{x} = 0.714

\frac{1}{x - 8} - 1 = \frac{7}{x - 8}

\frac{x}{x - 9} + 2 = \frac{9}{x - 9}

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

72.8 = \frac{x ^{2}}{( 1 - x ) ^{3}}

What is the answer to (x-12)/x = 7/20 ?
The answer to (x-12)/x = 7/20 is x= 240/13
Solve for x: (x-12)/x = 7/20
The solution is x= 240/13