What is the answer to | 5/(x+2)|=7 ?

The answer to | 5/(x+2)|=7 is x=-19/7 ,x=-9/7

Solve for x: | 5/(x+2)|=7

The solution is x=-19/7 ,x=-9/7

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

x = - \frac{19}{7}, x = - \frac{9}{7}

Decimal Notation

x = - 2.71428 \dots, x = - 1.28571 \dots

Solution steps

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

Simplify

\frac{5}{x + 2} : \frac{5}{∣ x + 2 ∣}

\frac{5}{∣ x + 2 ∣} = 7

Multiply both sides by

∣ x + 2 ∣

5 = 7 ∣ x + 2 ∣

Solve

5 = 7 ∣ x + 2 ∣ : x = - \frac{19}{7} or x = - \frac{9}{7}

x = - \frac{19}{7}, x = - \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{19}{7}, x = - \frac{9}{7}

\frac{x + 2}{3 + 2 x} \leq 5

2 x^{2} - 3 x - 5 > 0

lo g_{4} (60) - lo g_{4} (4) + lo g_{4} (x)

\frac{3}{2} x - \frac{4}{3} > 1

- 3 x + 4 \leq 4 x - 10

What is the answer to | 5/(x+2)|=7 ?
The answer to | 5/(x+2)|=7 is x=-19/7 ,x=-9/7
Solve for x: | 5/(x+2)|=7
The solution is x=-19/7 ,x=-9/7