What is the answer to 11|x+7|+1=8 ?

The answer to 11|x+7|+1=8 is x=-84/11 \lor x=-70/11

Solve for x: 11|x+7|+1=8

The solution is x=-84/11 \lor x=-70/11

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11 ∣ x + 7 ∣ + 1 = 8

x = - \frac{84}{11} or x = - \frac{70}{11}

Decimal Notation

x = - 7.63636 \dots, x = - 6.36363 \dots

Solution steps

11 ∣ x + 7 ∣ + 1 = 8

Move

1

to the right side

11 ∣ x + 7 ∣ = 7

Divide both sides by

11

∣ x + 7 ∣ = \frac{7}{11}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 7 = - \frac{7}{11} or x + 7 = \frac{7}{11}

x + 7 = - \frac{7}{11} or x + 7 = \frac{7}{11}

x = - \frac{84}{11} or x = - \frac{70}{11}

x + 2 = 12

\frac{5}{12} - \frac{2}{9}

6 - k = 5

∣ 5 y + 3 ∣ > 0

6 = \frac{k}{9}

What is the answer to 11|x+7|+1=8 ?
The answer to 11|x+7|+1=8 is x=-84/11 \lor x=-70/11
Solve for x: 11|x+7|+1=8
The solution is x=-84/11 \lor x=-70/11