What is the answer to 11|x+9|+4=7 ?

The answer to 11|x+9|+4=7 is x=-102/11 \lor x=-96/11

Solve for x: 11|x+9|+4=7

The solution is x=-102/11 \lor x=-96/11

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11 ∣ x + 9 ∣ + 4 = 7

x = - \frac{102}{11} or x = - \frac{96}{11}

Decimal

x = - 9.27272 \dots, x = - 8.72727 \dots

Solution steps

11 ∣ x + 9 ∣ + 4 = 7

Move

4

to the right side

11 ∣ x + 9 ∣ = 3

Divide both sides by

11

∣ x + 9 ∣ = \frac{3}{11}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 9 = - \frac{3}{11} or x + 9 = \frac{3}{11}

x + 9 = - \frac{3}{11} or x + 9 = \frac{3}{11}

x = - \frac{102}{11} or x = - \frac{96}{11}

∣ a ∣ - \frac{3}{4} = - \frac{5}{8}

x^{2} + 6 x = 5

3 ∣ n - 5 ∣ - 14 = - 2

x^{2} + x = 0

∣ 3 x - 1 ∣ = ∣ 2 x + 6 ∣

What is the answer to 11|x+9|+4=7 ?
The answer to 11|x+9|+4=7 is x=-102/11 \lor x=-96/11
Solve for x: 11|x+9|+4=7
The solution is x=-102/11 \lor x=-96/11