What is the answer to 2/(x-1)-6/(2x+1)=5 ?

The answer to 2/(x-1)-6/(2x+1)=5 is x= 13/10 ,x=-1

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2/(x-1)-6/(2x+1)=5

\frac{2}{x - 1} - \frac{6}{2 x + 1} = 5

x = \frac{13}{10}, x = - 1

Decimal Notation

x = 1.3, x = - 1

Solution steps

\frac{2}{x - 1} - \frac{6}{2 x + 1} = 5

Multiply by LCM

2 (2 x + 1) - 6 (x - 1) = 5 (x - 1) (2 x + 1)

Solve

2 (2 x + 1) - 6 (x - 1) = 5 (x - 1) (2 x + 1) : x = \frac{13}{10}, x = - 1

x = \frac{13}{10}, x = - 1

Verify Solutions

Find undefined (singularity) points:

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

Combine undefined points with solutions:

x = \frac{13}{10}, x = - 1

7 - \frac{2}{x} = 4 + \frac{10}{x}

\frac{x}{x + 3} + \frac{5}{x + 4} = 0

6 - \frac{1}{x} = \frac{1}{x ^{2}}

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

\frac{28 x}{3 x - 1} = 10

What is the answer to 2/(x-1)-6/(2x+1)=5 ?
The answer to 2/(x-1)-6/(2x+1)=5 is x= 13/10 ,x=-1
Solve for x: 2/(x-1)-6/(2x+1)=5
The solution is x= 13/10 ,x=-1