What is the answer to (2x+9)/(x+5)=4 ?

The answer to (2x+9)/(x+5)=4 is x=-11/2

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(2x+9)/(x+5)=4

\frac{2 x + 9}{x + 5} = 4

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

\frac{2 x + 9}{x + 5} = 4

Multiply both sides by

x + 5

2 x + 9 = 4 (x + 5)

Expand

4 (x + 5) : 4 x + 20

2 x + 9 = 4 x + 20

Move

9

to the right side

2 x = 4 x + 11

Move

4 x

to the left side

- 2 x = 11

Divide both sides by

- 2

x = - \frac{11}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{11}{2}

x, t = \frac{p d}{2 x}

x + 1 = \frac{1}{x}

\frac{2 ( x ^{4} - 1 )}{x ^{3}} = 0

\frac{4}{20} = \frac{7}{x}

x - \frac{1}{x} = 5