What is the answer to 7/(x+4)-1/x = 8/15 ?

The answer to 7/(x+4)-1/x = 8/15 is x=6,x= 5/4

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7/(x+4)-1/x = 8/15

\frac{7}{x + 4} - \frac{1}{x} = \frac{8}{15}

x = 6, x = \frac{5}{4}

Decimal Notation

x = 6, x = 1.25

Solution steps

\frac{7}{x + 4} - \frac{1}{x} = \frac{8}{15}

Multiply by LCM

105 x - 15 (x + 4) = 8 x (x + 4)

Solve

105 x - 15 (x + 4) = 8 x (x + 4) : x = 6, x = \frac{5}{4}

x = 6, x = \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 4, x = 0

Combine undefined points with solutions:

x = 6, x = \frac{5}{4}

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

\frac{6}{m} + 2 = \frac{m + 3}{m - 1}

x - \frac{3}{x - 9} = \frac{7}{x - 9}

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

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

What is the answer to 7/(x+4)-1/x = 8/15 ?
The answer to 7/(x+4)-1/x = 8/15 is x=6,x= 5/4
Solve for x: 7/(x+4)-1/x = 8/15
The solution is x=6,x= 5/4