What is the answer to 0= 1/(x-3)+2 ?

The answer to 0= 1/(x-3)+2 is x= 5/2

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0= 1/(x-3)+2

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

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

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

Move

2

to the left side

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

Multiply both sides by

x - 3

- 2 (x - 3) = 1

Divide both sides by

- 2

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

Move

3

to the right side

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{12.5}{x} = 2.5

0.319973953 = \frac{16}{x}

\frac{- 7}{x} = \frac{9}{3 x} + 10

\frac{( a x + b )}{c x + d} = 3

- 16 a = \frac{- ( 2 d )}{( 3 r )}