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

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

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

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

x = - 9

Solution steps

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

Multiply both sides by

x + 3

x - 3 = 2 (x + 3)

Expand

2 (x + 3) : 2 x + 6

x - 3 = 2 x + 6

Move

3

to the right side

x = 2 x + 9

Move

2 x

to the left side

- x = 9

Divide both sides by

- 1

x = - 9

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - 9

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

5.59 \cdot 1 0^{- 10} = \frac{0.26 x + x ^{2}}{- x}

\frac{33}{x + 6.5} + \frac{4}{x - 6.5} = 1

\frac{4}{x + 6} = \frac{6}{x}

- \frac{5}{x ( x - 1 )} = \frac{x + 5}{x}