What is the answer to (x-4}{x-2}=\frac{-3)/4 ?

The answer to (x-4}{x-2}=\frac{-3)/4 is x= 22/7

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(x-4}{x-2}=\frac{-3)/4

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

x = \frac{22}{7}

Decimal Notation

x = 3.14285 \dots

Solution steps

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

Cross multiply

4 x - 16 = - 3 x + 6

Move

16

to the right side

4 x = - 3 x + 22

Move

3 x

to the left side

7 x = 22

Divide both sides by

7

x = \frac{22}{7}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{22}{7}

\frac{( 1 ) x + 1}{x} = \frac{21}{20}

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

\frac{12}{30} = \frac{( 2 x )}{( 4 x + 10 )}

\frac{y ^{2}}{4 - 5 y + 16} = 0

12 x^{2} - 2 x + 1 = 0.8 x^{2} + (\frac{1}{16 x ^{2}})

What is the answer to (x-4}{x-2}=\frac{-3)/4 ?
The answer to (x-4}{x-2}=\frac{-3)/4 is x= 22/7
Solve for x: (x-4}{x-2}=\frac{-3)/4
The solution is x= 22/7