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

The answer to ((4x-1))/((2x))=5 is x=-1/6

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

\frac{( 4 x - 1 )}{( 2 x )} = 5

x = - \frac{1}{6}

Decimal

x = - 0.16666 \dots

Solution steps

\frac{( 4 x - 1 )}{( 2 x )} = 5

Simplify

\frac{( 4 x - 1 )}{( 2 x )} : \frac{4 x - 1}{2 x}

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

Multiply both sides by

x

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

Multiply both sides by

2

4 x - 1 = 10 x

Move

1

to the right side

4 x = 10 x + 1

Move

10 x

to the left side

- 6 x = 1

Divide both sides by

- 6

x = - \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - \frac{1}{6}

\frac{( x - 1 )}{2 - ( x + 1 ) \cdot 0.3} = 3

\frac{x}{( x ^{2} - 9 )} + \frac{4}{( x + 3 )} = \frac{3}{( x ^{2} - 9 )}

\frac{4 ( ( x + 1 ) ( 2 x + 5 ) - 2 x ^{2} - 5 )}{( x - 2 )} = 3

x^{- 1} = 0.1 x

\frac{z ^{2} - 4 a ^{2} - 2 - 1}{z ^{2}} = 0

What is the answer to ((4x-1))/((2x))=5 ?
The answer to ((4x-1))/((2x))=5 is x=-1/6
Solve for x: ((4x-1))/((2x))=5
The solution is x=-1/6