What is the answer to 3/(4x)= 1/(x-2) ?

The answer to 3/(4x)= 1/(x-2) is x=-6

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3/(4x)= 1/(x-2)

\frac{3}{4 x} = \frac{1}{x - 2}

x = - 6

Solution steps

\frac{3}{4 x} = \frac{1}{x - 2}

Cross multiply

3 x - 6 = 4 x

Move

6

to the right side

3 x = 4 x + 6

Move

4 x

to the left side

- x = 6

Divide both sides by

- 1

x = - 6

Verify Solutions

Find undefined (singularity) points:

x = 0, x = 2

Combine undefined points with solutions:

x = - 6

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

0 = \frac{8 ( 2 x - 5 )}{( x + 2 ) ^{4}}

\frac{12000 A}{1 + A} = 1262

2 = \frac{x + 2}{x - 8}

\frac{6}{( x + a )} = \frac{5}{40}