What is the answer to 3/5+4/(2x-1)=0 ?

The answer to 3/5+4/(2x-1)=0 is x=-17/6

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3/5+4/(2x-1)=0

\frac{3}{5} + \frac{4}{2 x - 1} = 0

x = - \frac{17}{6}

Decimal Notation

x = - 2.83333 \dots

Solution steps

\frac{3}{5} + \frac{4}{2 x - 1} = 0

Multiply by LCM

3 (2 x - 1) + 20 = 0

Move

20

to the right side

3 (2 x - 1) = - 20

Divide both sides by

3

2 x - 1 = - \frac{20}{3}

Move

1

to the right side

2 x = - \frac{17}{3}

Divide both sides by

2

x = - \frac{17}{6}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{17}{6}

\frac{- 8 + 3}{4 x} = 1

\frac{x}{6 + 5} = \frac{1}{3 - x}

\frac{x}{x - 9} - 3 = - \frac{5}{x - 9}

\frac{6}{5} = \frac{12}{x}

\frac{- 2 x}{x ^{2} + 4} = 0