What is the answer to 2|2-3x|-2=10 ?

The answer to 2|2-3x|-2=10 is x=-4/3 \lor x= 8/3

Solve for x: 2|2-3x|-2=10

The solution is x=-4/3 \lor x= 8/3

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2 ∣ 2 - 3 x ∣ - 2 = 10

x = - \frac{4}{3} or x = \frac{8}{3}

Decimal Notation

x = - 1.33333 \dots, x = 2.66666 \dots

Solution steps

2 ∣ 2 - 3 x ∣ - 2 = 10

Move

2

to the right side

2 ∣ 2 - 3 x ∣ = 12

Divide both sides by

2

∣ 2 - 3 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 - 3 x = - 6 or 2 - 3 x = 6

2 - 3 x = - 6 or 2 - 3 x = 6

x = - \frac{4}{3} or x = \frac{8}{3}

3 ∣ b + 1 ∣ - 10 = 11

∣ 5 - b ∣ = 1212

3 ∣ x - 3 ∣ = 9

∣ x - 2 ∣ - 2 = 0

∣ d + 9 ∣ - 2 = 3

What is the answer to 2|2-3x|-2=10 ?
The answer to 2|2-3x|-2=10 is x=-4/3 \lor x= 8/3
Solve for x: 2|2-3x|-2=10
The solution is x=-4/3 \lor x= 8/3