What is the answer to 6|x-2|-15=-9|x-2|+15 ?

The answer to 6|x-2|-15=-9|x-2|+15 is x=0\lor x=4

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6|x-2|-15=-9|x-2|+15

6 ∣ x - 2 ∣ - 15 = - 9 ∣ x - 2 ∣ + 15

x = 0 or x = 4

Solution steps

6 ∣ x - 2 ∣ - 15 = - 9 ∣ x - 2 ∣ + 15

Move

15

to the right side

6 ∣ x - 2 ∣ = - 9 ∣ x - 2 ∣ + 30

Move

9 ∣ x - 2 ∣

to the left side

15 ∣ x - 2 ∣ = 30

Divide both sides by

15

∣ x - 2 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - 2 or x - 2 = 2

x - 2 = - 2 or x - 2 = 2

x = 0 or x = 4

\frac{11 !}{1 ! 4 ! 4 ! 2 !}

8 (- 6 n + 18) - 29 = - 88 n + 75

(3 z - 1) (8 - z) = 0

5 x^{2} = 60

k (k - 4) = 0

What is the answer to 6|x-2|-15=-9|x-2|+15 ?
The answer to 6|x-2|-15=-9|x-2|+15 is x=0\lor x=4
Solve for x: 6|x-2|-15=-9|x-2|+15
The solution is x=0\lor x=4