What is the answer to |3x-2|+2=5 ?

The answer to |3x-2|+2=5 is x=-1/3 \lor x= 5/3

Solve for x: |3x-2|+2=5

The solution is x=-1/3 \lor x= 5/3

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∣ 3 x - 2 ∣ + 2 = 5

x = - \frac{1}{3} or x = \frac{5}{3}

Decimal

x = - 0.33333 \dots, x = 1.66666 \dots

Solution steps

∣ 3 x - 2 ∣ + 2 = 5

Move

2

to the right side

∣ 3 x - 2 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 3 or 3 x - 2 = 3

3 x - 2 = - 3 or 3 x - 2 = 3

x = - \frac{1}{3} or x = \frac{5}{3}

∣ x + 3 ∣ - ∣ x - 1 ∣ = x + 1

x^{2} + x - 6 = 0

∣ 3 x ∣ = 1

∣ 2 x - 1 ∣ = - x

x^{2} - 4 = ∣ x ∣ + 2

What is the answer to |3x-2|+2=5 ?
The answer to |3x-2|+2=5 is x=-1/3 \lor x= 5/3
Solve for x: |3x-2|+2=5
The solution is x=-1/3 \lor x= 5/3