What is the answer to (6x)/(x-1)=4 ?

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

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(6x)/(x-1)=4

\frac{6 x}{x - 1} = 4

x = - 2

Solution steps

\frac{6 x}{x - 1} = 4

Multiply both sides by

x - 1

6 x = 4 (x - 1)

Expand

4 (x - 1) : 4 x - 4

6 x = 4 x - 4

Move

4 x

to the left side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - 2

a (x) = - \frac{x ^{3}}{x + 1}

\frac{p ^{2} - 4 p}{p} = 0

x, \frac{f - 7}{x - 3} = 3

(\frac{94}{y}) - 8.4 = 15.1

\frac{x}{x + 10000} = 0.19