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

The answer to (6x+1)/(x-1)=-3 is x= 2/9

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(6x+1)/(x-1)=-3

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

x = \frac{2}{9}

Decimal Notation

x = 0.22222 \dots

Solution steps

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

Multiply both sides by

x - 1

6 x + 1 = - 3 (x - 1)

Expand

- 3 (x - 1) : - 3 x + 3

6 x + 1 = - 3 x + 3

Move

1

to the right side

6 x = - 3 x + 2

Move

3 x

to the left side

9 x = 2

Divide both sides by

9

x = \frac{2}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{2}{9}

h = \frac{x - d}{x}, x

48 = 37 \cdot \frac{D}{1 - D}

x = \frac{2 x}{x + 2}

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

\frac{4 x - 11}{x + 1} = 5 x + 7