What is the answer to |-3a+8|=11 ?

The answer to |-3a+8|=11 is a=-1\lor a= 19/3

Solve for a: |-3a+8|=11

The solution is a=-1\lor a= 19/3

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∣ - 3 a + 8 ∣ = 11

a = - 1 or a = \frac{19}{3}

Decimal Notation

a = - 1, a = 6.33333 \dots

Solution steps

∣ - 3 a + 8 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 3 a + 8 = - 11 or - 3 a + 8 = 11

- 3 a + 8 = - 11 or - 3 a + 8 = 11

a = - 1 or a = \frac{19}{3}

4 - 4 ∣ 6 - 3 x ∣ = - 16

13 = ∣ 2 b + 12 ∣

4 - 5 ∣ 10 + 5 x ∣ = - 51

∣ b + 3 ∣ = 3

∣ 3 x - 6 ∣ = 12