What is the answer to 4/(2x+1)-1/(3x-1)=5 ?

The answer to 4/(2x+1)-1/(3x-1)=5 is x= 1/6 ,x=0

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4/(2x+1)-1/(3x-1)=5

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

x = \frac{1}{6}, x = 0

Decimal Notation

x = 0.16666 \dots, x = 0

Solution steps

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

Multiply by LCM

4 (3 x - 1) - (2 x + 1) = 5 (2 x + 1) (3 x - 1)

Solve

4 (3 x - 1) - (2 x + 1) = 5 (2 x + 1) (3 x - 1) : x = \frac{1}{6}, x = 0

x = \frac{1}{6}, x = 0

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{1}{6}, x = 0

\frac{16}{9} = \frac{A ^{2} - 9}{A ^{2} - 16}

\frac{12}{7} = \frac{60}{x}

x, \frac{2}{5} = \frac{16}{x}

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

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

What is the answer to 4/(2x+1)-1/(3x-1)=5 ?
The answer to 4/(2x+1)-1/(3x-1)=5 is x= 1/6 ,x=0
Solve for x: 4/(2x+1)-1/(3x-1)=5
The solution is x= 1/6 ,x=0