What is the answer to 2/(x+6)+3= x/(x+6) ?

The answer to 2/(x+6)+3= x/(x+6) is x=-10

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2/(x+6)+3= x/(x+6)

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

x = - 10

Solution steps

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

Multiply both sides by

x + 6

2 + 3 (x + 6) = x

Expand

2 + 3 (x + 6) : 3 x + 20

3 x + 20 = x

Move

20

to the right side

3 x = x - 20

Move

x

to the left side

2 x = - 20

Divide both sides by

2

x = - 10

Verify Solutions

Find undefined (singularity) points:

x = - 6

Combine undefined points with solutions:

x = - 10

f, f^{- 1} (x) = x^{3} + 8

\frac{( n + 2 ) !}{n !} = 12

\frac{6}{x + 3} + \frac{2}{x + 1} = 1

1 - \frac{100}{x ^{2}} = 0

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

What is the answer to 2/(x+6)+3= x/(x+6) ?
The answer to 2/(x+6)+3= x/(x+6) is x=-10
Solve for x: 2/(x+6)+3= x/(x+6)
The solution is x=-10