What is the answer to 8/(x-5)=-3 ?

The answer to 8/(x-5)=-3 is x= 7/3

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8/(x-5)=-3

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

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

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

Multiply both sides by

x - 5

8 = - 3 (x - 5)

Switch sides

- 3 (x - 5) = 8

Divide both sides by

- 3

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

Move

5

to the right side

x = \frac{7}{3}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{7}{3}

\frac{22}{7 - a} = \frac{2}{a + 5}

\frac{2 x - 1}{x + 3} = \frac{4}{2}

\frac{30}{35} = \frac{150}{x}

\frac{10}{x} = - \frac{10}{3 x} - 4

- \frac{7}{y} + 3 = 3