What is the answer to 1-(2x+5)/(x-2)=(x+2)/(x^2-4) ?

The answer to 1-(2x+5)/(x-2)=(x+2)/(x^2-4) is x=-8

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1-(2x+5)/(x-2)=(x+2)/(x^2-4)

1 - \frac{2 x + 5}{x - 2} = \frac{x + 2}{x ^{2} - 4}

x = - 8

Solution steps

1 - \frac{2 x + 5}{x - 2} = \frac{x + 2}{x ^{2} - 4}

Simplify

\frac{x + 2}{x ^{2} - 4} : \frac{1}{x - 2}

1 - \frac{2 x + 5}{x - 2} = \frac{1}{x - 2}

Multiply both sides by

x - 2

x - 2 - (2 x + 5) = 1

Move

2

to the right side

x - (2 x + 5) = 3

Expand

x - (2 x + 5) : - x - 5

- x - 5 = 3

Move

5

to the right side

- x = 8

Divide both sides by

- 1

x = - 8

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = - 8

R, \frac{n}{R} = \frac{b}{a}

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

2 x - \frac{7}{x - 6} = x

g, c = \frac{d}{g}

\frac{3 - 5 x}{x - 1} = x^{2} + 2 x - 3

What is the answer to 1-(2x+5)/(x-2)=(x+2)/(x^2-4) ?
The answer to 1-(2x+5)/(x-2)=(x+2)/(x^2-4) is x=-8
Solve for x: 1-(2x+5)/(x-2)=(x+2)/(x^2-4)
The solution is x=-8