What is the answer to 7|2-11x|=21 ?

The answer to 7|2-11x|=21 is x=-1/11 \lor x= 5/11

Solve for x: 7|2-11x|=21

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

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7 ∣ 2 - 11 x ∣ = 21

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

Decimal Notation

x = - 0.09090 \dots, x = 0.45454 \dots

Solution steps

7 ∣ 2 - 11 x ∣ = 21

Divide both sides by

7

∣ 2 - 11 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 11 x = - 3 or 2 - 11 x = 3

2 - 11 x = - 3 or 2 - 11 x = 3

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

- 5 ∣ 7 x - 2 ∣ + 3 x = 3 x + 10

x^{2} - ∣ x ∣ = 1

3 (∣ x + 3 ∣ + 2) = 6

∣ - 5 x ∣ = 30

- 2 + ∣ 3 x - 3 ∣ = 25

What is the answer to 7|2-11x|=21 ?
The answer to 7|2-11x|=21 is x=-1/11 \lor x= 5/11
Solve for x: 7|2-11x|=21
The solution is x=-1/11 \lor x= 5/11