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

The answer to 2/(3x-3)=6 is x= 10/9

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2/(3x-3)=6

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

x = \frac{10}{9}

Decimal Notation

x = 1.11111 \dots

Solution steps

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

Multiply both sides by

3 x - 3

2 = 6 (3 x - 3)

Switch sides

6 (3 x - 3) = 2

Divide both sides by

6

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

Move

3

to the right side

3 x = \frac{10}{3}

Divide both sides by

3

x = \frac{10}{9}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = \frac{10}{9}

\frac{24}{v + 1} = \frac{4}{8}

\frac{x}{x ( x + 4 )} = 0

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

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

\frac{1}{2 x} + \frac{x}{3} = 7