What is the answer to |3a-5|=11 ?

The answer to |3a-5|=11 is a=-2\lor a= 16/3

Solve for a: |3a-5|=11

The solution is a=-2\lor a= 16/3

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∣ 3 a - 5 ∣ = 11

a = - 2 or a = \frac{16}{3}

Decimal Notation

a = - 2, a = 5.33333 \dots

Solution steps

∣ 3 a - 5 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 a - 5 = - 11 or 3 a - 5 = 11

3 a - 5 = - 11 or 3 a - 5 = 11

a = - 2 or a = \frac{16}{3}

3 ∣ 2 n + 7 ∣ - 12 = 3

∣ x + 12 ∣ - 16 = 2

5 - \frac{6 x}{5} = 12

∣ 5 x + 7 ∣ = 38

3 - \frac{1}{4} x = 4