What is the answer to 2/(3x+15)=17 ?

The answer to 2/(3x+15)=17 is x=-253/51

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2/(3x+15)=17

\frac{2}{3 x + 15} = 17

x = - \frac{253}{51}

Decimal Notation

x = - 4.96078 \dots

Solution steps

\frac{2}{3 x + 15} = 17

Multiply both sides by

3 x + 15

2 = 17 (3 x + 15)

Switch sides

17 (3 x + 15) = 2

Divide both sides by

17

3 x + 15 = \frac{2}{17}

Move

15

to the right side

3 x = - \frac{253}{17}

Divide both sides by

3

x = - \frac{253}{51}

Verify Solutions

Find undefined (singularity) points:

x = - 5

Combine undefined points with solutions:

x = - \frac{253}{51}

\frac{3}{b + 1} = 5

a = \frac{b}{c}, c

\frac{1}{a x} + \frac{1}{b x} = 2

\frac{13 - 3}{2 x} = 37

\frac{8}{x} = \frac{8}{x - 4}