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

The answer to |3x+2|+3=8 is x=-7/3 \lor x=1

Solve for x: |3x+2|+3=8

The solution is x=-7/3 \lor x=1

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∣ 3 x + 2 ∣ + 3 = 8

x = - \frac{7}{3} or x = 1

Decimal Notation

x = - 2.33333 \dots, x = 1

Solution steps

∣ 3 x + 2 ∣ + 3 = 8

Move

3

to the right side

∣ 3 x + 2 ∣ = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x + 2 = - 5 or 3 x + 2 = 5

3 x + 2 = - 5 or 3 x + 2 = 5

x = - \frac{7}{3} or x = 1

∣ 5 - 5 x ∣ = 3

∣ 2 t - 4 ∣ = t - 3

0 = ∣ 2 x - 5 ∣ - 1

∣ 4 - 5 x ∣ + 3 - 2 x = 8

x, - f = ∣ x ∣ + 4