What is the answer to (2x+3)/(x-2)=9 ?

The answer to (2x+3)/(x-2)=9 is x=3

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(2x+3)/(x-2)=9

\frac{2 x + 3}{x - 2} = 9

x = 3

Solution steps

\frac{2 x + 3}{x - 2} = 9

Multiply both sides by

x - 2

2 x + 3 = 9 (x - 2)

Expand

9 (x - 2) : 9 x - 18

2 x + 3 = 9 x - 18

Move

3

to the right side

2 x = 9 x - 21

Move

9 x

to the left side

- 7 x = - 21

Divide both sides by

- 7

x = 3

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 3

x, \frac{x + y}{x} = y

\frac{0.24}{a} = \frac{6}{x}

\frac{x ^{2} - 4}{x - 2} = 0

\frac{16}{x} = \frac{x}{4}

\frac{5}{a} = 3