What is the answer to 6/x+2/5 =8 ?

The answer to 6/x+2/5 =8 is x= 15/19

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6/x+2/5 =8

\frac{6}{x} + \frac{2}{5} = 8

x = \frac{15}{19}

Decimal Notation

x = 0.78947 \dots

Solution steps

\frac{6}{x} + \frac{2}{5} = 8

Multiply by LCM

30 + 2 x = 40 x

Move

30

to the right side

2 x = 40 x - 30

Move

40 x

to the left side

- 38 x = - 30

Divide both sides by

- 38

x = \frac{15}{19}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{15}{19}

\frac{4}{x} = x + 3

0 = \frac{x - 3}{x - 4}

e^{- 1} = \frac{1}{e}

x, \frac{1}{2 x} - p = 0

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