What is the answer to x/(3(x+1))=-6 ?

The answer to x/(3(x+1))=-6 is x=-18/19

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x/(3(x+1))=-6

\frac{x}{3 ( x + 1 )} = - 6

x = - \frac{18}{19}

Decimal Notation

x = - 0.94736 \dots

Solution steps

\frac{x}{3 ( x + 1 )} = - 6

Multiply both sides by

3 (x + 1)

x = - 18 (x + 1)

Expand

- 18 (x + 1) : - 18 x - 18

x = - 18 x - 18

Move

18 x

to the left side

19 x = - 18

Divide both sides by

19

x = - \frac{18}{19}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = - \frac{18}{19}

y, x^{2} = \frac{( x + 3 y )}{( x - 3 y )}

\frac{x ^{2} + 2}{5 x} = \frac{2}{7}

\frac{- 15}{4 - 17 x} = 9 + 10 x

\frac{( x ^{2} + 3 )}{( x - 3 )} - \frac{( x + 6 )}{( 3 - x )} = 1

(x^{4})^{2} = \frac{2 ^{12}}{x ^{5}}