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

The answer to 5/(4x-1)=(1+5)/(4x) is x= 3/2

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

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

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

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

Cross multiply

10 x = 12 x - 3

Move

12 x

to the left side

- 2 x = - 3

Divide both sides by

- 2

x = \frac{3}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{4}, x = 0

Combine undefined points with solutions:

x = \frac{3}{2}

\frac{2}{7} = \frac{8}{x}

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

\frac{9}{18} = \frac{13.5}{x}

20 = \frac{x ^{2}}{15 - x}

\frac{- 7}{3 x} = 6

What is the answer to 5/(4x-1)=(1+5)/(4x) ?
The answer to 5/(4x-1)=(1+5)/(4x) is x= 3/2
Solve for x: 5/(4x-1)=(1+5)/(4x)
The solution is x= 3/2