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

The answer to x/(2-x)=6 is x= 12/7

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x/(2-x)=6

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

x = \frac{12}{7}

Decimal Notation

x = 1.71428 \dots

Solution steps

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

Multiply both sides by

2 - x

x = 6 (2 - x)

Expand

6 (2 - x) : 12 - 6 x

x = 12 - 6 x

Move

6 x

to the left side

7 x = 12

Divide both sides by

7

x = \frac{12}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{12}{7}

\frac{x ^{2} - 1}{x - 1} = x + 1

B, 2 = \frac{a}{2 B + q}

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

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

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