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

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

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

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

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Move

2

to the right side

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

Simplify

\frac{- 5 x}{2 x + 1} : - \frac{5 x}{2 x + 1}

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

Multiply both sides by

2 x + 1

- 5 x = 5 (2 x + 1)

Expand

5 (2 x + 1) : 10 x + 5

- 5 x = 10 x + 5

Move

10 x

to the left side

- 15 x = 5

Divide both sides by

- 15

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{1}{3}

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

10 = \frac{30}{0.02 x ^{2} + 1}

\frac{1}{6 x} = 9

c, f = \frac{c}{c - e}

\frac{4 - 11 m}{m ^{2} - 25} = 0

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