What is the answer to x/(7-2x)=6 ?

The answer to x/(7-2x)=6 is x= 42/13

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x/(7-2x)=6

\frac{x}{7 - 2 x} = 6

x = \frac{42}{13}

Decimal Notation

x = 3.23076 \dots

Solution steps

\frac{x}{7 - 2 x} = 6

Multiply both sides by

7 - 2 x

x = 6 (7 - 2 x)

Expand

6 (7 - 2 x) : 42 - 12 x

x = 42 - 12 x

Move

12 x

to the left side

13 x = 42

Divide both sides by

13

x = \frac{42}{13}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{2}

Combine undefined points with solutions:

x = \frac{42}{13}

\frac{10}{x} - \frac{12}{x - 3} + 4 = 0

\frac{1}{x + 2} + \frac{24}{x + 3} = 13

\frac{2}{3 x} = \frac{1}{9}

\frac{x + 3}{2 x - 3} = \frac{x - 5}{x - 4}

\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{5}{4}