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

The answer to 3|x|+2=8 is x=-2\lor x=2

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3|x|+2=8

3 ∣ x ∣ + 2 = 8

x = - 2 or x = 2

Solution steps

3 ∣ x ∣ + 2 = 8

Move

2

to the right side

3 ∣ x ∣ = 6

Divide both sides by

3

∣ x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 2 or x = 2

x^{2} - 3 x + 2 = 2

∣ 2 x - 1 ∣ = ∣ x - 3 ∣

∣ x + 1 ∣ + ∣ x - 2 ∣ = 2

\frac{∣ x - 5 ∣ - 1}{2} = \frac{1}{2}

x^{2} - 4 ∣ x ∣ + 3 = 0