What is the answer to (7x)/(8-3x)=15 ?

The answer to (7x)/(8-3x)=15 is x= 30/13

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(7x)/(8-3x)=15

\frac{7 x}{8 - 3 x} = 15

x = \frac{30}{13}

Decimal Notation

x = 2.30769 \dots

Solution steps

\frac{7 x}{8 - 3 x} = 15

Multiply both sides by

8 - 3 x

7 x = 15 (8 - 3 x)

Expand

15 (8 - 3 x) : 120 - 45 x

7 x = 120 - 45 x

Move

45 x

to the left side

52 x = 120

Divide both sides by

52

x = \frac{30}{13}

Verify Solutions

Find undefined (singularity) points:

x = \frac{8}{3}

Combine undefined points with solutions:

x = \frac{30}{13}

- \frac{2}{x - 1} = 4

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

\frac{3}{5} = \frac{15}{x}

\frac{18}{x} = 6

\frac{4}{x} = \frac{2}{21}