What is the answer to 2+7/x = 2/5 ?

The answer to 2+7/x = 2/5 is x=-35/8

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2+7/x = 2/5

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

x = - \frac{35}{8}

Decimal Notation

x = - 4.375

Solution steps

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

Multiply by LCM

10 x + 35 = 2 x

Move

35

to the right side

10 x = 2 x - 35

Move

2 x

to the left side

8 x = - 35

Divide both sides by

8

x = - \frac{35}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{35}{8}

F = G \frac{mm}{d ^{2}}

\frac{w + 3}{4 w} + 1 = \frac{w - 5}{w}

y, x = 4 y + \frac{1}{y}

\frac{4}{x} = \frac{2}{7}

k, \frac{m}{k} = x