What is the answer to |(6x+1)/(x-1)|=4 ?

The answer to |(6x+1)/(x-1)|=4 is x=-5/2 ,x= 3/10

Solve for x: |(6x+1)/(x-1)|=4

The solution is x=-5/2 ,x= 3/10

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\frac{6 x + 1}{x - 1} = 4

x = - \frac{5}{2}, x = \frac{3}{10}

Decimal Notation

x = - 2.5, x = 0.3

Solution steps

\frac{6 x + 1}{x - 1} = 4

Simplify

\frac{6 x + 1}{x - 1} : \frac{∣ 6 x + 1 ∣}{∣ x - 1 ∣}

\frac{∣ 6 x + 1 ∣}{∣ x - 1 ∣} = 4

Multiply both sides by

∣ x - 1 ∣

∣ 6 x + 1 ∣ = 4 ∣ x - 1 ∣

Solve

∣ 6 x + 1 ∣ = 4 ∣ x - 1 ∣ : x = - \frac{5}{2} or x = \frac{3}{10}

x = - \frac{5}{2}, x = \frac{3}{10}

Verify Solutions

Find undefined (singularity) points:

x = 1

Combine undefined points with solutions:

x = - \frac{5}{2}, x = \frac{3}{10}

n - 10 > - 5

\frac{2}{\frac{3}{5}}

\frac{r}{- 10} = - 36

3^{2} x = 4

2 \leq x \leq 5

What is the answer to |(6x+1)/(x-1)|=4 ?
The answer to |(6x+1)/(x-1)|=4 is x=-5/2 ,x= 3/10
Solve for x: |(6x+1)/(x-1)|=4
The solution is x=-5/2 ,x= 3/10