What is the answer to 6/((x+2))=12 ?

The answer to 6/((x+2))=12 is x=-3/2

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6/((x+2))=12

\frac{6}{( x + 2 )} = 12

x = - \frac{3}{2}

Solution steps

\frac{6}{( x + 2 )} = 12

Simplify

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

\frac{6}{x + 2} = 12

Multiply both sides by

x + 2

6 = 12 (x + 2)

Switch sides

12 (x + 2) = 6

Divide both sides by

12

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

Move

2

to the right side

x = - \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{3}{2}

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

\frac{x ^{2} + 4}{x ^{2} - 16} = 0

a, \frac{12}{a} + 7 b = 53

\frac{1}{x} = c + \frac{1}{b}

\frac{( x - 184 )}{x} \cdot 100 = 40