What is the answer to 7/x = 3/(2x)+1 ?

The answer to 7/x = 3/(2x)+1 is x= 11/2

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7/x = 3/(2x)+1

\frac{7}{x} = \frac{3}{2 x} + 1

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

\frac{7}{x} = \frac{3}{2 x} + 1

Multiply by LCM

14 = 3 + 2 x

Switch sides

3 + 2 x = 14

Move

3

to the right side

2 x = 11

Divide both sides by

2

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{11}{2}

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

\frac{2}{x + 1} + \frac{3}{5 x + 5} = 0

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

x, \frac{3 x + 2}{5 - x} = 0

\frac{3}{2 - z} = 2 z + 7