What is the answer to (4x+9)/x =12 ?

The answer to (4x+9)/x =12 is x= 9/8

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(4x+9)/x =12

\frac{4 x + 9}{x} = 12

x = \frac{9}{8}

Decimal Notation

x = 1.125

Solution steps

\frac{4 x + 9}{x} = 12

Multiply both sides by

x

4 x + 9 = 12 x

Move

9

to the right side

4 x = 12 x - 9

Move

12 x

to the left side

- 8 x = - 9

Divide both sides by

- 8

x = \frac{9}{8}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{8}

- \frac{16}{5} = \frac{- 4}{1 - r}

\frac{6}{x + 8} = - \frac{3}{4}

\frac{55}{x + 6} = x

\frac{11}{x + 3} = 10

\frac{5 x - 3}{x + 4} - \frac{8}{5 x} = 5