What is the answer to 6+|4x+2|=20 ?

The answer to 6+|4x+2|=20 is x=-4\lor x=3

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6+|4x+2|=20

6 + ∣ 4 x + 2 ∣ = 20

x = - 4 or x = 3

Solution steps

6 + ∣ 4 x + 2 ∣ = 20

Move

6

to the right side

∣ 4 x + 2 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 2 = - 14 or 4 x + 2 = 14

4 x + 2 = - 14 or 4 x + 2 = 14

x = - 4 or x = 3

∣ 3 x + 4 ∣ + 7 = 6

- ∣ 2 x - 5 ∣ = - 9

∣ x ∣^{2} = x^{2}

2 ∣ - 3 x - 12 ∣ - 10 = 8

∣ 7 x - 5 ∣ - 10 = - 10