What is the answer to |-6a+4|=14 ?

The answer to |-6a+4|=14 is a=-5/3 \lor a=3

Solve for a: |-6a+4|=14

The solution is a=-5/3 \lor a=3

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∣ - 6 a + 4 ∣ = 14

a = - \frac{5}{3} or a = 3

Decimal Notation

a = - 1.66666 \dots, a = 3

Solution steps

∣ - 6 a + 4 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 6 a + 4 = - 14 or - 6 a + 4 = 14

- 6 a + 4 = - 14 or - 6 a + 4 = 14

a = - \frac{5}{3} or a = 3

∣ 2 x + 6 ∣ = 4

- 5 - ∣ 5 k - 7 ∣ = - 8

x, - y = ∣ x ∣

4 ∣ x - 5 ∣ = 7 (x - 4)

∣ 3 x + 2 ∣ = 2 x - 3