What is the answer to 5/(x-3)+9=2 ?

The answer to 5/(x-3)+9=2 is x= 16/7

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5/(x-3)+9=2

\frac{5}{x - 3} + 9 = 2

x = \frac{16}{7}

Decimal Notation

x = 2.28571 \dots

Solution steps

\frac{5}{x - 3} + 9 = 2

Move

9

to the right side

\frac{5}{x - 3} = - 7

Multiply both sides by

x - 3

5 = - 7 (x - 3)

Switch sides

- 7 (x - 3) = 5

Divide both sides by

- 7

x - 3 = - \frac{5}{7}

Move

3

to the right side

x = \frac{16}{7}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{16}{7}

\frac{3}{5} + \frac{7}{x + 2} = 2

\frac{2}{3 ( 9 x + 6 )} = 6 x + 4

\frac{1}{x - 2} + 3 = \frac{10}{x - 2}

x^{2} = 2401 x^{- 2}

x = \frac{x ^{2} + 5 x + 4}{x - 3}