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

The answer to 2x+1= 3/(5x-2) is x=(-1+sqrt(201))/(20),x=(-1-sqrt(201))/(20)

Solve for x: 2x+1= 3/(5x-2)

The solution is x=(-1+sqrt(201))/(20),x=(-1-sqrt(201))/(20)

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

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

Solution steps

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

Multiply both sides by

5 x - 2

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

Solve

2 x (5 x - 2) + 5 x - 2 = 3 : x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

Verify Solutions

Find undefined (singularity) points:

x = \frac{2}{5}

Combine undefined points with solutions:

x = \frac{- 1 + 201}{20}, x = \frac{- 1 - 201}{20}

x + \frac{14}{x} = - 9

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

- \frac{12}{x} = \frac{24}{8}

\frac{5 x - 5}{3 x - 3} = 1

\frac{x ^{2} + x - 42}{x - 6} = x + 7

What is the answer to 2x+1= 3/(5x-2) ?
The answer to 2x+1= 3/(5x-2) is x=(-1+sqrt(201))/(20),x=(-1-sqrt(201))/(20)
Solve for x: 2x+1= 3/(5x-2)
The solution is x=(-1+sqrt(201))/(20),x=(-1-sqrt(201))/(20)