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

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

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

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

x = - 2

Solution steps

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

Cross multiply

15 = - (2 x - 1) \cdot 3

Switch sides

- (2 x - 1) \cdot 3 = 15

Divide both sides by

- 3

2 x - 1 = - 5

Move

1

to the right side

2 x = - 4

Divide both sides by

2

x = - 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - 2

x + \frac{1}{x} + 1 = 0

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

\frac{8}{x} = \frac{24}{x - 4}

x - \frac{3 x}{x + 6} = 2

8 = a^{- 3}