What is the answer to -2/(x-1)+9x=-(2x)/(x-1) ?

The answer to -2/(x-1)+9x=-(2x)/(x-1) is x=-2/9

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-2/(x-1)+9x=-(2x)/(x-1)

- \frac{2}{x - 1} + 9 x = - \frac{2 x}{x - 1}

x = - \frac{2}{9}

Decimal Notation

x = - 0.22222 \dots

Solution steps

- \frac{2}{x - 1} + 9 x = - \frac{2 x}{x - 1}

Multiply both sides by

x - 1

- 2 + 9 x (x - 1) = - 2 x

Solve

- 2 + 9 x (x - 1) = - 2 x : x = 1, x = - \frac{2}{9}

x = 1, x = - \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Since the equation is undefined for:

1

x = - \frac{2}{9}

6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

y, \frac{1}{y} = x

\frac{1}{4 x - 16} + 2 = - \frac{5}{x - 4}

x - \frac{3 x}{x + 7} = \frac{5}{x + 7}

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

What is the answer to -2/(x-1)+9x=-(2x)/(x-1) ?
The answer to -2/(x-1)+9x=-(2x)/(x-1) is x=-2/9
Solve for x: -2/(x-1)+9x=-(2x)/(x-1)
The solution is x=-2/9