What is the answer to 8|x-6|+3=35 ?

The answer to 8|x-6|+3=35 is x=2\lor x=10

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8|x-6|+3=35

8 ∣ x - 6 ∣ + 3 = 35

x = 2 or x = 10

Solution steps

8 ∣ x - 6 ∣ + 3 = 35

Move

3

to the right side

8 ∣ x - 6 ∣ = 32

Divide both sides by

8

∣ x - 6 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - 4 or x - 6 = 4

x - 6 = - 4 or x - 6 = 4

x = 2 or x = 10

9 x^{2} - 9 x - 10

4 (0.5 n - 3) = n - 0.25 (12 - 8 n)

3 + \frac{2}{7} x > x - 2

9 \cdot \frac{2}{3}

0 = - x^{2} - 2 x + 1