What is the answer to (6x-1)/(3-2x)=5 ?

The answer to (6x-1)/(3-2x)=5 is x=1

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(6x-1)/(3-2x)=5

\frac{6 x - 1}{3 - 2 x} = 5

x = 1

Solution steps

\frac{6 x - 1}{3 - 2 x} = 5

Multiply both sides by

3 - 2 x

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

Expand

5 (3 - 2 x) : 15 - 10 x

6 x - 1 = 15 - 10 x

Move

1

to the right side

6 x = - 10 x + 16

Move

10 x

to the left side

16 x = 16

Divide both sides by

16

x = 1

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = 1

x^{2} + \frac{432}{x} = 0

\frac{4}{2 x} = \frac{3}{4}

20 = \frac{y \cdot 40}{y + 12}

\frac{x + 5}{x - 3} = 0

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