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

The answer to (x+3)/(x-2)=2 is x=7

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

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

x = 7

Solution steps

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

Multiply both sides by

x - 2

x + 3 = 2 (x - 2)

Expand

2 (x - 2) : 2 x - 4

x + 3 = 2 x - 4

Move

3

to the right side

x = 2 x - 7

Move

2 x

to the left side

- x = - 7

Divide both sides by

- 1

x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = 7

\frac{x - 5}{4 x} + 1 = \frac{x + 2}{x}

x, u = y + \frac{k}{x}

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

\frac{x}{x - x} = \frac{x}{0}

x, y = \frac{6 x - 5}{x + 3}