What is the answer to 2/((3x-1))+3/((2x-1))=0 ?

The answer to 2/((3x-1))+3/((2x-1))=0 is x= 5/13

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2/((3x-1))+3/((2x-1))=0

\frac{2}{( 3 x - 1 )} + \frac{3}{( 2 x - 1 )} = 0

x = \frac{5}{13}

Decimal Notation

x = 0.38461 \dots

Solution steps

\frac{2}{( 3 x - 1 )} + \frac{3}{( 2 x - 1 )} = 0

Multiply by LCM

13 x - 5 = 0

Move

5

to the right side

13 x = 5

Divide both sides by

13

x = \frac{5}{13}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{3}, x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{5}{13}

x^{- 5} = 243

\frac{( 0.2 x + 5 )}{( 3.5 x - 3 )} = \frac{2}{5}

\frac{4}{( x ^{2} + x + 3 )} + \frac{5}{( x ^{2} - 5 x + 3 )} + \frac{3}{2} x = 0

\frac{31}{5 + n} = 9

x, \frac{1}{x} - \frac{1}{( x + h )} = 0

What is the answer to 2/((3x-1))+3/((2x-1))=0 ?
The answer to 2/((3x-1))+3/((2x-1))=0 is x= 5/13
Solve for x: 2/((3x-1))+3/((2x-1))=0
The solution is x= 5/13