What is the answer to 2/(x+4)-2= x/(x+4) ?

The answer to 2/(x+4)-2= x/(x+4) is x=-2

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2/(x+4)-2= x/(x+4)

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

x = - 2

Solution steps

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

Multiply both sides by

x + 4

2 - 2 (x + 4) = x

Expand

2 - 2 (x + 4) : - 2 x - 6

- 2 x - 6 = x

Move

6

to the right side

- 2 x = x + 6

Move

x

to the left side

- 3 x = 6

Divide both sides by

- 3

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = - 4

Combine undefined points with solutions:

x = - 2

x^{- 2} + 7 x^{- 1} - 18 = 0

\frac{100}{x} = 60

\frac{100}{x} = 80

t, g = \frac{2 h}{t ^{2}}

1 - \frac{1}{k ^{2}} = 0.81

What is the answer to 2/(x+4)-2= x/(x+4) ?
The answer to 2/(x+4)-2= x/(x+4) is x=-2
Solve for x: 2/(x+4)-2= x/(x+4)
The solution is x=-2