What is the answer to (3-x)/(x-5)=6 ?

The answer to (3-x)/(x-5)=6 is x= 33/7

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(3-x)/(x-5)=6

\frac{3 - x}{x - 5} = 6

x = \frac{33}{7}

Solution steps

\frac{3 - x}{x - 5} = 6

Multiply both sides by

x - 5

3 - x = 6 (x - 5)

Expand

6 (x - 5) : 6 x - 30

3 - x = 6 x - 30

Move

3

to the right side

- x = 6 x - 33

Move

6 x

to the left side

- 7 x = - 33

Divide both sides by

- 7

x = \frac{33}{7}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{33}{7}

\frac{4}{8} = \frac{2}{x}

\frac{x ^{2} ( x - 3 )}{( x - 1 ) ^{3}} = 0

x^{- 2} + 5 x^{- 1} + 6 = 0

- 4 x + 24 = \frac{8 - 2}{5 ( 10 x - 60 )}

f, \frac{g}{f} + q = 2