What is the answer to 6*(x+2)/x =-6 ?

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

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6*(x+2)/x =-6

6 \cdot \frac{x + 2}{x} = - 6

x = - 1

Solution steps

6 \cdot \frac{x + 2}{x} = - 6

Simplify

6 \cdot \frac{x + 2}{x} : \frac{6 ( x + 2 )}{x}

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

Multiply both sides by

x

6 (x + 2) = - 6 x

Expand

6 (x + 2) : 6 x + 12

6 x + 12 = - 6 x

Move

12

to the right side

6 x = - 6 x - 12

Move

6 x

to the left side

12 x = - 12

Divide both sides by

12

x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 1

\frac{1}{2} (x + 4) = \frac{1}{3 x}

\frac{x}{3 x - 9} - 4 = \frac{1}{x - 3}

\frac{- 45}{r} = 5

\frac{6 x}{3 x - 5} = \frac{2 x + 5}{x}

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