What is the answer to 11+5|x-1|=17 ?

The answer to 11+5|x-1|=17 is x=-1/5 \lor x= 11/5

Solve for x: 11+5|x-1|=17

The solution is x=-1/5 \lor x= 11/5

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11 + 5 ∣ x - 1 ∣ = 17

x = - \frac{1}{5} or x = \frac{11}{5}

Solution steps

11 + 5 ∣ x - 1 ∣ = 17

Move

11

to the right side

5 ∣ x - 1 ∣ = 6

Divide both sides by

5

∣ x - 1 ∣ = \frac{6}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{6}{5} or x - 1 = \frac{6}{5}

x - 1 = - \frac{6}{5} or x - 1 = \frac{6}{5}

x = - \frac{1}{5} or x = \frac{11}{5}

∣ x - 3 ∣ + ∣ x + 2 ∣ - ∣ x - 4 ∣ = 3

∣ x - 1 ∣ + ∣ x - 2 ∣ = 2

∣ x ∣ + 2 ∣ x - 6 ∣ = 12

∣ z ∣ + ∣ z - 4 ∣ = 6

∣ x + 2 ∣ = ∣ 2 x - 3 ∣

What is the answer to 11+5|x-1|=17 ?
The answer to 11+5|x-1|=17 is x=-1/5 \lor x= 11/5
Solve for x: 11+5|x-1|=17
The solution is x=-1/5 \lor x= 11/5