What is the answer to 10|x+8|-13=-2|x+8|+11 ?

The answer to 10|x+8|-13=-2|x+8|+11 is x=-10\lor x=-6

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10|x+8|-13=-2|x+8|+11

10 ∣ x + 8 ∣ - 13 = - 2 ∣ x + 8 ∣ + 11

x = - 10 or x = - 6

Solution steps

10 ∣ x + 8 ∣ - 13 = - 2 ∣ x + 8 ∣ + 11

Move

13

to the right side

10 ∣ x + 8 ∣ = - 2 ∣ x + 8 ∣ + 24

Move

2 ∣ x + 8 ∣

to the left side

12 ∣ x + 8 ∣ = 24

Divide both sides by

12

∣ x + 8 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x + 8 = - 2 or x + 8 = 2

x + 8 = - 2 or x + 8 = 2

x = - 10 or x = - 6

y^{2} + 9 y + 20 = 0

718

\frac{x}{- 3} - 1 \leq 5

4 x^{2} + 12 x - 27 = 0

4^{\frac{1}{4}}

What is the answer to 10|x+8|-13=-2|x+8|+11 ?
The answer to 10|x+8|-13=-2|x+8|+11 is x=-10\lor x=-6
Solve for x: 10|x+8|-13=-2|x+8|+11
The solution is x=-10\lor x=-6