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

The answer to (x+2)/(x-3)=-2 is x= 4/3

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

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

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

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

Multiply both sides by

x - 3

x + 2 = - 2 (x - 3)

Expand

- 2 (x - 3) : - 2 x + 6

x + 2 = - 2 x + 6

Move

2

to the right side

x = - 2 x + 4

Move

2 x

to the left side

3 x = 4

Divide both sides by

3

x = \frac{4}{3}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{4}{3}

(x - \frac{1}{x}) = 2

\frac{7 x - 4}{5 x + 2} - 2 = 10

\frac{96}{b} = 16

\frac{1}{y - 1} = \frac{2}{y - 2}

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