What is the answer to 3/(x+3)=12 ?

The answer to 3/(x+3)=12 is x=-11/4

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3/(x+3)=12

\frac{3}{x + 3} = 12

x = - \frac{11}{4}

Decimal Notation

x = - 2.75

Solution steps

\frac{3}{x + 3} = 12

Multiply both sides by

x + 3

3 = 12 (x + 3)

Switch sides

12 (x + 3) = 3

Divide both sides by

12

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

Move

3

to the right side

x = - \frac{11}{4}

Verify Solutions

Find undefined (singularity) points:

x = - 3

Combine undefined points with solutions:

x = - \frac{11}{4}

\frac{2}{x} = \frac{8}{12}

\frac{3}{4} = \frac{5}{x}

\frac{1}{10} = \frac{10}{k}

\frac{2}{x} = \frac{8}{20}

\frac{( x + 2 ) !}{x !} = 0