What is the answer to 8/(3x+4)-1/(x-4)=0 ?

The answer to 8/(3x+4)-1/(x-4)=0 is x= 36/5

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8/(3x+4)-1/(x-4)=0

\frac{8}{3 x + 4} - \frac{1}{x - 4} = 0

x = \frac{36}{5}

Decimal Notation

x = 7.2

Solution steps

\frac{8}{3 x + 4} - \frac{1}{x - 4} = 0

Multiply by LCM

5 x - 36 = 0

Move

36

to the right side

5 x = 36

Divide both sides by

5

x = \frac{36}{5}

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{36}{5}

\frac{5}{x + 2} + \frac{9}{x - 2} = 2

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

\frac{1}{2} = \frac{4}{h}

5 - \frac{7}{y} = - \frac{2}{y ^{2}}

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

What is the answer to 8/(3x+4)-1/(x-4)=0 ?
The answer to 8/(3x+4)-1/(x-4)=0 is x= 36/5
Solve for x: 8/(3x+4)-1/(x-4)=0
The solution is x= 36/5