What is the answer to (x+3)/(x-2)=7 ?

The answer to (x+3)/(x-2)=7 is x= 17/6

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(x+3)/(x-2)=7

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

x = \frac{17}{6}

Decimal Notation

x = 2.83333 \dots

Solution steps

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

Multiply both sides by

x - 2

x + 3 = 7 (x - 2)

Expand

7 (x - 2) : 7 x - 14

x + 3 = 7 x - 14

Move

3

to the right side

x = 7 x - 17

Move

7 x

to the left side

- 6 x = - 17

Divide both sides by

- 6

x = \frac{17}{6}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{17}{6}

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

\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}