What is the answer to (3x)/(x^2-7x)=8 ?

The answer to (3x)/(x^2-7x)=8 is x= 59/8

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(3x)/(x^2-7x)=8

\frac{3 x}{x ^{2} - 7 x} = 8

x = \frac{59}{8}

Decimal Notation

x = 7.375

Solution steps

\frac{3 x}{x ^{2} - 7 x} = 8

Simplify

\frac{3 x}{x ^{2} - 7 x} : \frac{3}{x - 7}

\frac{3}{x - 7} = 8

Multiply both sides by

x - 7

3 = 8 (x - 7)

Switch sides

8 (x - 7) = 3

Divide both sides by

8

x - 7 = \frac{3}{8}

Move

7

to the right side

x = \frac{59}{8}

Verify Solutions

Find undefined (singularity) points:

x = 7, x = 0

Combine undefined points with solutions:

x = \frac{59}{8}

\frac{1}{x + 2} + 5 = \frac{16}{x + 2}

x = \frac{24}{x - 5}

4 = \frac{52}{g}

\frac{3}{4} = \frac{6}{x}

\frac{1}{x - 3} + 1 = \frac{1}{x - 3}

What is the answer to (3x)/(x^2-7x)=8 ?
The answer to (3x)/(x^2-7x)=8 is x= 59/8
Solve for x: (3x)/(x^2-7x)=8
The solution is x= 59/8