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

The answer to 5/6 =(x-1)/(2x-1) is x=-1/4

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5/6 =(x-1)/(2x-1)

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

x = - \frac{1}{4}

Solution steps

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

Cross multiply

10 x - 5 = 6 x - 6

Move

5

to the right side

10 x = 6 x - 1

Move

6 x

to the left side

4 x = - 1

Divide both sides by

4

x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = - \frac{1}{4}

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

\frac{3}{a} + \frac{4}{14 - a} = 1

\frac{0.3}{x} = \frac{x}{27}

1 - \frac{y}{y - 5} = - 3

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

What is the answer to 5/6 =(x-1)/(2x-1) ?
The answer to 5/6 =(x-1)/(2x-1) is x=-1/4
Solve for x: 5/6 =(x-1)/(2x-1)
The solution is x=-1/4