What is the answer to 6=9 x/(x+1) ?

The answer to 6=9 x/(x+1) is x=2

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6=9 x/(x+1)

6 = 9 \frac{x}{x + 1}

x = 2

Solution steps

6 = 9 \cdot \frac{x}{x + 1}

Simplify

9 \cdot \frac{x}{x + 1} : \frac{9 x}{x + 1}

6 = \frac{9 x}{x + 1}

Multiply both sides by

x + 1

6 (x + 1) = 9 x

Expand

6 (x + 1) : 6 x + 6

6 x + 6 = 9 x

Move

6

to the right side

6 x = 9 x - 6

Move

9 x

to the left side

- 3 x = - 6

Divide both sides by

- 3

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 2

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

\frac{1}{0.5} = \frac{10}{z}

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

\frac{1}{2} - \frac{12}{x + 3} = 4

(y - 1) (y - 2) = \frac{1}{2 y ^{2}}