What is the answer to 6/x-3=7 ?

The answer to 6/x-3=7 is x= 3/5

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6/x-3=7

\frac{6}{x} - 3 = 7

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

\frac{6}{x} - 3 = 7

Move

3

to the right side

\frac{6}{x} = 10

Multiply both sides by

x

6 = 10 x

Switch sides

10 x = 6

Divide both sides by

10

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{3}{5}

\frac{y}{5} = \frac{20}{y}

\frac{1}{x} = \frac{2}{10}

2 - \frac{5}{2 b} = \frac{2 b}{b + 1}

x = \frac{1}{x} + 4

1 + \frac{4}{y} = \frac{11}{12 y}