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

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

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(3x+3)/(x-3)=2

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

x = - 9

Solution steps

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

Multiply both sides by

x - 3

3 x + 3 = 2 (x - 3)

Expand

2 (x - 3) : 2 x - 6

3 x + 3 = 2 x - 6

Move

3

to the right side

3 x = 2 x - 9

Move

2 x

to the left side

x = - 9

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = - 9

0.1 = 1 - \frac{40}{x}

t, r = \frac{d}{t}

y, x = \frac{2 y - 3}{y + 1}

3 x^{- 2} = 27

12 x - 7 = \frac{12}{x}