What is the answer to 6/(3x)+5/4 = 3/x ?

The answer to 6/(3x)+5/4 = 3/x is x= 4/5

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6/(3x)+5/4 = 3/x

\frac{6}{3 x} + \frac{5}{4} = \frac{3}{x}

x = \frac{4}{5}

Decimal

x = 0.8

Solution steps

\frac{6}{3 x} + \frac{5}{4} = \frac{3}{x}

Multiply by LCM

8 + 5 x = 12

Move

8

to the right side

5 x = 4

Divide both sides by

5

x = \frac{4}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{4}{5}

3 x^{2} - 3 x^{- 4} = 0

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

\frac{4}{3 x} + \frac{7}{4} = 6 - \frac{5}{2 x}

x + \frac{4 x}{x - 3} = \frac{12}{x - 3}

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

What is the answer to 6/(3x)+5/4 = 3/x ?
The answer to 6/(3x)+5/4 = 3/x is x= 4/5
Solve for x: 6/(3x)+5/4 = 3/x
The solution is x= 4/5