What is the answer to 9/(7x+6)-1/(x-5)=0 ?

The answer to 9/(7x+6)-1/(x-5)=0 is x= 51/2

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9/(7x+6)-1/(x-5)=0

\frac{9}{7 x + 6} - \frac{1}{x - 5} = 0

x = \frac{51}{2}

Decimal Notation

x = 25.5

Solution steps

\frac{9}{7 x + 6} - \frac{1}{x - 5} = 0

Multiply by LCM

2 x - 51 = 0

Move

51

to the right side

2 x = 51

Divide both sides by

2

x = \frac{51}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{6}{7}, x = 5

Combine undefined points with solutions:

x = \frac{51}{2}

\frac{5}{x + 3} = \frac{2}{3 x - 4}

\frac{1}{x} = \frac{100}{80}

\frac{5}{x + 3} - 2 = \frac{7}{x - 8}

0.07 = - \frac{1}{x} ln (1 - 0.177)

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

What is the answer to 9/(7x+6)-1/(x-5)=0 ?
The answer to 9/(7x+6)-1/(x-5)=0 is x= 51/2
Solve for x: 9/(7x+6)-1/(x-5)=0
The solution is x= 51/2