What is the answer to 6+(4x)/(x-1)=-8x ?

The answer to 6+(4x)/(x-1)=-8x is x=-1,x= 3/4

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6+(4x)/(x-1)=-8x

6 + \frac{4 x}{x - 1} = - 8 x

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

Decimal Notation

x = - 1, x = 0.75

Solution steps

6 + \frac{4 x}{x - 1} = - 8 x

Multiply both sides by

x - 1

6 (x - 1) + 4 x = - 8 x (x - 1)

Solve

6 (x - 1) + 4 x = - 8 x (x - 1) : x = - 1, x = \frac{3}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

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

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

\frac{5}{6} = \frac{15}{x - 3}

x - \frac{7}{x + 7} = \frac{x}{x + 7}

\frac{3 x - 5}{x - 1} - \frac{2 x - 5}{x - 2} = 1

\frac{4}{x ^{2}} = 1

What is the answer to 6+(4x)/(x-1)=-8x ?
The answer to 6+(4x)/(x-1)=-8x is x=-1,x= 3/4
Solve for x: 6+(4x)/(x-1)=-8x
The solution is x=-1,x= 3/4