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

The answer to (x+5)/(x-2)=2 is x=9

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

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

x = 9

Solution steps

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

Multiply both sides by

x - 2

x + 5 = 2 (x - 2)

Expand

2 (x - 2) : 2 x - 4

x + 5 = 2 x - 4

Move

5

to the right side

x = 2 x - 9

Move

2 x

to the left side

- x = - 9

Divide both sides by

- 1

x = 9

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 9

L^{- 1} = [\frac{s}{s ^{2} + 2 s - 3}]

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

D = 1000000 n^{- 2}

\frac{5 x - 4}{2 x - 1} = 3

1 - \frac{9}{4 x} = \frac{7}{10}