What is the answer to | 5/(x-3)|=10 ?

The answer to | 5/(x-3)|=10 is x= 5/2 ,x= 7/2

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| 5/(x-3)|=10

\frac{5}{x - 3} = 10

x = \frac{5}{2}, x = \frac{7}{2}

Solution steps

\frac{5}{x - 3} = 10

Simplify

\frac{5}{x - 3} : \frac{5}{∣ x - 3 ∣}

\frac{5}{∣ x - 3 ∣} = 10

Multiply both sides by

∣ x - 3 ∣

5 = 10 ∣ x - 3 ∣

Solve

5 = 10 ∣ x - 3 ∣ : x = \frac{5}{2} or x = \frac{7}{2}

x = \frac{5}{2}, x = \frac{7}{2}

Verify Solutions

Find undefined (singularity) points:

x = 3

Combine undefined points with solutions:

x = \frac{5}{2}, x = \frac{7}{2}

4 x^{2} - 81

8 x^{2} + 6 x = - 5

3 (22) - 30

12 - 3 (x + 5) = - 9

49 c^{2} - 16

What is the answer to | 5/(x-3)|=10 ?
The answer to | 5/(x-3)|=10 is x= 5/2 ,x= 7/2
Solve for x: | 5/(x-3)|=10
The solution is x= 5/2 ,x= 7/2