What is the answer to 6/(2x-1)=5 ?

The answer to 6/(2x-1)=5 is x= 11/10

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6/(2x-1)=5

\frac{6}{2 x - 1} = 5

x = \frac{11}{10}

Decimal Notation

x = 1.1

Solution steps

\frac{6}{2 x - 1} = 5

Multiply both sides by

2 x - 1

6 = 5 (2 x - 1)

Switch sides

5 (2 x - 1) = 6

Divide both sides by

5

2 x - 1 = \frac{6}{5}

Move

1

to the right side

2 x = \frac{11}{5}

Divide both sides by

2

x = \frac{11}{10}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{11}{10}

\frac{x - 1}{7 x + 6} = \frac{2}{x + 2}

- \frac{2}{x - 1} + 9 x = - \frac{2 x}{x - 1}

6.16 = \frac{50 x}{x ^{2} + 3 x + 6}

y, \frac{1}{y} = x

\frac{1}{4 x - 16} + 2 = - \frac{5}{x - 4}