What is the answer to (x-4)/(3x)= 1/(5x)+1 ?

The answer to (x-4)/(3x)= 1/(5x)+1 is x=-23/10

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(x-4)/(3x)= 1/(5x)+1

\frac{x - 4}{3 x} = \frac{1}{5 x} + 1

x = - \frac{23}{10}

Decimal

x = - 2.3

Solution steps

\frac{x - 4}{3 x} = \frac{1}{5 x} + 1

Multiply by LCM

5 x - 20 = 3 + 15 x

Move

20

to the right side

5 x = 15 x + 23

Move

15 x

to the left side

- 10 x = 23

Divide both sides by

- 10

x = - \frac{23}{10}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{23}{10}

\frac{2}{a - 2} = \frac{3 a - 1}{2 a + 11}

6 - \frac{1}{x ^{2}} = 0

y, \frac{1}{y} + \frac{1}{x} = 1

- \frac{2}{( x - 3 ) ^{3}} = 0

\frac{1}{x} - \frac{1}{x + 2} = \frac{1}{12}

What is the answer to (x-4)/(3x)= 1/(5x)+1 ?
The answer to (x-4)/(3x)= 1/(5x)+1 is x=-23/10
Solve for x: (x-4)/(3x)= 1/(5x)+1
The solution is x=-23/10