What is the answer to 2|3x|+1=9 ?

The answer to 2|3x|+1=9 is x=-4/3 \lor x= 4/3

Solve for x: 2|3x|+1=9

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

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2 ∣ 3 x ∣ + 1 = 9

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

Decimal

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

Solution steps

2 ∣ 3 x ∣ + 1 = 9

Move

1

to the right side

2 ∣ 3 x ∣ = 8

Divide both sides by

2

∣ 3 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 4 or 3 x = 4

3 x = - 4 or 3 x = 4

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

∣ x - 6 ∣ = ∣ x + 8 ∣

∣ x + 5 ∣ - ∣ 3 x - 3 ∣ = 4

∣ 5 - 2 x ∣ - 2 x = x + 3

∣ 6 x - 3 ∣ - 3 = 36

y, ∣ - 3 x ∣ + y = 8