What is the answer to | 3/(x-4)|=7 ?

The answer to | 3/(x-4)|=7 is x= 25/7 ,x= 31/7

Solve for x: | 3/(x-4)|=7

The solution is x= 25/7 ,x= 31/7

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\frac{3}{x - 4} = 7

x = \frac{25}{7}, x = \frac{31}{7}

Decimal Notation

x = 3.57142 \dots, x = 4.42857 \dots

Solution steps

\frac{3}{x - 4} = 7

Simplify

\frac{3}{x - 4} : \frac{3}{∣ x - 4 ∣}

\frac{3}{∣ x - 4 ∣} = 7

Multiply both sides by

∣ x - 4 ∣

3 = 7 ∣ x - 4 ∣

Solve

3 = 7 ∣ x - 4 ∣ : x = \frac{25}{7} or x = \frac{31}{7}

x = \frac{25}{7}, x = \frac{31}{7}

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = \frac{25}{7}, x = \frac{31}{7}

t, \frac{p - 4}{t + 3} = 8

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

\frac{- 3 X + 2}{2 X} = 2 X

\frac{2}{6} = \frac{9}{n}

x, \frac{( x + y )}{x y} = 1

What is the answer to | 3/(x-4)|=7 ?
The answer to | 3/(x-4)|=7 is x= 25/7 ,x= 31/7
Solve for x: | 3/(x-4)|=7
The solution is x= 25/7 ,x= 31/7