What is the answer to 8|x+5|+7=11 ?

The answer to 8|x+5|+7=11 is x=-11/2 \lor x=-9/2

Solve for x: 8|x+5|+7=11

The solution is x=-11/2 \lor x=-9/2

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8 ∣ x + 5 ∣ + 7 = 11

x = - \frac{11}{2} or x = - \frac{9}{2}

Decimal Notation

x = - 5.5, x = - 4.5

Solution steps

8 ∣ x + 5 ∣ + 7 = 11

Move

7

to the right side

8 ∣ x + 5 ∣ = 4

Divide both sides by

8

∣ x + 5 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 5 = - \frac{1}{2} or x + 5 = \frac{1}{2}

x + 5 = - \frac{1}{2} or x + 5 = \frac{1}{2}

x = - \frac{11}{2} or x = - \frac{9}{2}

9 = - 3 (e - 2)

x^{2} + 6 = 6

4 \cdot 1 0^{- 3}

9 x = 99

9 x^{2} + 4 x = 16

What is the answer to 8|x+5|+7=11 ?
The answer to 8|x+5|+7=11 is x=-11/2 \lor x=-9/2
Solve for x: 8|x+5|+7=11
The solution is x=-11/2 \lor x=-9/2