What is the answer to 1/(x-2)+4/5 =3 ?

The answer to 1/(x-2)+4/5 =3 is x= 27/11

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1/(x-2)+4/5 =3

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

x = \frac{27}{11}

Decimal Notation

x = 2.45454 \dots

Solution steps

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

Multiply by LCM

4 x - 3 = 15 x - 30

Move

3

to the right side

4 x = 15 x - 27

Move

15 x

to the left side

- 11 x = - 27

Divide both sides by

- 11

x = \frac{27}{11}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{27}{11}

\frac{2}{5} = \frac{2 x - 6}{x - 3}

x - \frac{1}{x} = 0

r, d = \frac{r}{1 + r t}

0 = \frac{3}{x + 5} - \frac{16}{x} - 1

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