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

The answer to 2/(5x-1)=-3/4 is x=-1/3

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

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

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

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

Cross multiply

8 = - (5 x - 1) \cdot 3

Switch sides

- (5 x - 1) \cdot 3 = 8

Divide both sides by

- 3

5 x - 1 = - \frac{8}{3}

Move

1

to the right side

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

Divide both sides by

5

x = - \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{5}

Combine undefined points with solutions:

x = - \frac{1}{3}

\frac{36}{8} = \frac{9}{h}

A, h^{3} + \frac{g}{A} = m

- \frac{7}{2 x} + \frac{1}{2 x} = 1

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

7 = \frac{10}{2 x + 3} + 5