What is the answer to (17+x)/(x+2)=3 ?

The answer to (17+x)/(x+2)=3 is x= 11/2

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

\frac{17 + x}{x + 2} = 3

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

\frac{17 + x}{x + 2} = 3

Multiply both sides by

x + 2

17 + x = 3 (x + 2)

Expand

3 (x + 2) : 3 x + 6

17 + x = 3 x + 6

Move

17

to the right side

x = 3 x - 11

Move

3 x

to the left side

- 2 x = - 11

Divide both sides by

- 2

x = \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = \frac{11}{2}

- \frac{9}{x ^{2}} + 1 = 0

\frac{x}{x + 5} = \frac{6}{5}

\frac{2}{x - 2} + \frac{4}{x + 1} = 3

(\frac{1 - 2}{n}) n \cdot 3 = 60

\frac{x}{3} = \frac{7 x}{12 x - 15}