What is the answer to |x-1|1+7=23 ?

The answer to |x-1|1+7=23 is x=-15\lor x=17

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|x-1|1+7=23

∣ x - 1 ∣ 1 + 7 = 23

x = - 15 or x = 17

Solution steps

∣ x - 1 ∣ \cdot 1 + 7 = 23

Multiply:

∣ x - 1 ∣ \cdot 1 = ∣ x - 1 ∣

∣ x - 1 ∣ + 7 = 23

Move

7

to the right side

∣ x - 1 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - 16 or x - 1 = 16

x - 1 = - 16 or x - 1 = 16

x = - 15 or x = 17

5 ∣ 21 - 4 x ∣ = 15 x - 35

∣ 3 x - 3 ∣ = 6

2 + ∣ 4 x - 6 ∣ = 99

∣ 5 x - 6 ∣ - 13 = - 8

∣ 3 x - 1 ∣ + 2 = 5