What is the answer to 1/(4x)+1= 2/(5x)-2 ?

The answer to 1/(4x)+1= 2/(5x)-2 is x= 1/20

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1/(4x)+1= 2/(5x)-2

\frac{1}{4 x} + 1 = \frac{2}{5 x} - 2

x = \frac{1}{20}

Decimal Notation

x = 0.05

Solution steps

\frac{1}{4 x} + 1 = \frac{2}{5 x} - 2

Multiply by LCM

5 = 8 - 60 x

Switch sides

8 - 60 x = 5

Move

8

to the right side

- 60 x = - 3

Divide both sides by

- 60

x = \frac{1}{20}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{20}

x - \frac{30}{x} = - 1

6 x - \frac{24}{x} = 0

F, \frac{d}{F} = j

\frac{10}{x + 5} = \frac{12}{x - 2}

100 = 2000 \times x^{- 2}

What is the answer to 1/(4x)+1= 2/(5x)-2 ?
The answer to 1/(4x)+1= 2/(5x)-2 is x= 1/20
Solve for x: 1/(4x)+1= 2/(5x)-2
The solution is x= 1/20