What is the answer to 2|3x-7|+11=19 ?

The answer to 2|3x-7|+11=19 is x=1\lor x= 11/3

Solve for x: 2|3x-7|+11=19

The solution is x=1\lor x= 11/3

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2 ∣ 3 x - 7 ∣ + 11 = 19

x = 1 or x = \frac{11}{3}

Decimal Notation

x = 1, x = 3.66666 \dots

Solution steps

2 ∣ 3 x - 7 ∣ + 11 = 19

Move

11

to the right side

2 ∣ 3 x - 7 ∣ = 8

Divide both sides by

2

∣ 3 x - 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 7 = - 4 or 3 x - 7 = 4

3 x - 7 = - 4 or 3 x - 7 = 4

x = 1 or x = \frac{11}{3}

∣ 5 + 8 x ∣ = 53

∣ x ∣ = - 18

x^{2} - 4 ∣ x - 1 ∣ + 5 x + 3 = 0

2 ∣ x - 1 ∣ = 14

2 ∣ x + 5 ∣ - 10 = 0

What is the answer to 2|3x-7|+11=19 ?
The answer to 2|3x-7|+11=19 is x=1\lor x= 11/3
Solve for x: 2|3x-7|+11=19
The solution is x=1\lor x= 11/3