What is the answer to 4|3x-2|+7=23 ?

The answer to 4|3x-2|+7=23 is x=-2/3 \lor x=2

Solve for x: 4|3x-2|+7=23

The solution is x=-2/3 \lor x=2

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4 ∣ 3 x - 2 ∣ + 7 = 23

x = - \frac{2}{3} or x = 2

Decimal Notation

x = - 0.66666 \dots, x = 2

Solution steps

4 ∣ 3 x - 2 ∣ + 7 = 23

Move

7

to the right side

4 ∣ 3 x - 2 ∣ = 16

Divide both sides by

4

∣ 3 x - 2 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x - 2 = - 4 or 3 x - 2 = 4

3 x - 2 = - 4 or 3 x - 2 = 4

x = - \frac{2}{3} or x = 2

2 x - 1 + ∣ 2 x - 1 ∣ = 0

4 \frac{x}{3} - 5 = 3

21 ∣ 5 - 12 x ∣ = 7

∣ c - x ∣ = 11

∣ c + 3 ∣ + 6 = 90

What is the answer to 4|3x-2|+7=23 ?
The answer to 4|3x-2|+7=23 is x=-2/3 \lor x=2
Solve for x: 4|3x-2|+7=23
The solution is x=-2/3 \lor x=2