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

The answer to (4x+1)/(3x)=8 is x= 1/20

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

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

x = \frac{1}{20}

Decimal Notation

x = 0.05

Solution steps

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

Multiply both sides by

x

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

Multiply both sides by

3

4 x + 1 = 24 x

Move

1

to the right side

4 x = 24 x - 1

Move

24 x

to the left side

- 20 x = - 1

Divide both sides by

- 20

x = \frac{1}{20}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{20}

\frac{8 x ^{3}}{2 \cdot x ^{- 5}} = 4 x^{8}

\frac{( 25 )}{1.5} = \frac{50}{a}

x + \frac{1}{x} = 3, x + \frac{1}{( x )}

\frac{2 x - 1 + 1}{( x - 2 )} = \frac{x + 1 - 1}{( 2 - x )}

\frac{27}{3 ( p + 120 )} = \frac{37}{9 ( p - 20 )}