What is the answer to 2|-3x+7|=8 ?

The answer to 2|-3x+7|=8 is x=1\lor x= 11/3

Solve for x: 2|-3x+7|=8

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

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2 ∣ - 3 x + 7 ∣ = 8

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

Decimal Notation

x = 1, x = 3.66666 \dots

Solution steps

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}

2 ∣ x ∣ = 5

∣ 6 y - 18 ∣ = 36

∣ x ∣ = \frac{1}{23}

∣ n + 4 ∣ = 1

∣ x - 3 ∣ = 2 x + 2