What is the answer to |2(x-5)|+11=17 ?

The answer to |2(x-5)|+11=17 is x=2\lor x=8

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|2(x-5)|+11=17

∣ 2 (x - 5) ∣ + 11 = 17

x = 2 or x = 8

Solution steps

∣ 2 (x - 5) ∣ + 11 = 17

Move

11

to the right side

∣ 2 (x - 5) ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 (x - 5) = - 6 or 2 (x - 5) = 6

2 (x - 5) = - 6 or 2 (x - 5) = 6

x = 2 or x = 8

∣ 2 x + 4 ∣ - 3 x = - 1

x^{2} - 4 = 2 - x

- x = 1 - ∣ x - 1 ∣

∣ 3 x - 5 ∣ - 6 = 4

∣ x - 1 ∣ + ∣ 2 x - 6 ∣ = 5

What is the answer to |2(x-5)|+11=17 ?
The answer to |2(x-5)|+11=17 is x=2\lor x=8
Solve for x: |2(x-5)|+11=17
The solution is x=2\lor x=8