What is the answer to (15)/x-4= 6/x+3 ?

The answer to (15)/x-4= 6/x+3 is x= 9/7

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(15)/x-4= 6/x+3

\frac{15}{x} - 4 = \frac{6}{x} + 3

x = \frac{9}{7}

Decimal Notation

x = 1.28571 \dots

Solution steps

\frac{15}{x} - 4 = \frac{6}{x} + 3

Move

4

to the right side

\frac{15}{x} = \frac{6}{x} + 7

Multiply both sides by

x

15 = 6 + 7 x

Switch sides

6 + 7 x = 15

Move

6

to the right side

7 x = 9

Divide both sides by

7

x = \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{9}{7}

f, f^{- 1} (x) = 2^{x}

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

\frac{2}{x + 3} = \frac{7}{x + 7}

\frac{x}{x - 1} = \frac{4}{5}

2 = \frac{1}{x}