What is the answer to 5|x+6|+8=-6|x+6|+8 ?

The answer to 5|x+6|+8=-6|x+6|+8 is x=-6

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5|x+6|+8=-6|x+6|+8

5 ∣ x + 6 ∣ + 8 = - 6 ∣ x + 6 ∣ + 8

x = - 6

Solution steps

5 ∣ x + 6 ∣ + 8 = - 6 ∣ x + 6 ∣ + 8

Subtract

8

from both sides

5 ∣ x + 6 ∣ + 8 - 8 = - 6 ∣ x + 6 ∣ + 8 - 8

Simplify

5 ∣ x + 6 ∣ = - 6 ∣ x + 6 ∣

Move

6 ∣ x + 6 ∣

to the left side

11 ∣ x + 6 ∣ = 0

Divide both sides by

11

∣ x + 6 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x + 6 = 0

x + 6 = 0 : x = - 6

x = - 6

(a + 3) (a + 1) - 4 (a + 1)

- \frac{3}{3 ^{2}}

(b^{2})^{\frac{1}{9}}

lo g_{2} (8^{9})

∣ x ∣ + 10 < 17

What is the answer to 5|x+6|+8=-6|x+6|+8 ?
The answer to 5|x+6|+8=-6|x+6|+8 is x=-6
Solve for x: 5|x+6|+8=-6|x+6|+8
The solution is x=-6