What is the answer to x+(16)/(x+2)=6 ?

The answer to x+(16)/(x+2)=6 is x=2

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x+(16)/(x+2)=6

x + \frac{16}{x + 2} = 6

x = 2

Solution steps

x + \frac{16}{x + 2} = 6

Multiply both sides by

x + 2

x (x + 2) + 16 = 6 (x + 2)

Solve

x (x + 2) + 16 = 6 (x + 2) : x = 2

x = 2

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = 2

\frac{a ^{2} - a ^{2}}{a - a} = 8

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

\frac{x - 1}{2 - x} = 0

\frac{6}{b + 4} = \frac{b + 3}{3 b - 3}

x = \frac{4}{x} - 2