What is the answer to 2+3|2x+1|=4 ?

The answer to 2+3|2x+1|=4 is x=-5/6 \lor x=-1/6

Solve for x: 2+3|2x+1|=4

The solution is x=-5/6 \lor x=-1/6

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2 + 3 ∣ 2 x + 1 ∣ = 4

x = - \frac{5}{6} or x = - \frac{1}{6}

Decimal Notation

x = - 0.83333 \dots, x = - 0.16666 \dots

Solution steps

2 + 3 ∣ 2 x + 1 ∣ = 4

Move

2

to the right side

3 ∣ 2 x + 1 ∣ = 2

Divide both sides by

3

∣ 2 x + 1 ∣ = \frac{2}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - \frac{2}{3} or 2 x + 1 = \frac{2}{3}

2 x + 1 = - \frac{2}{3} or 2 x + 1 = \frac{2}{3}

x = - \frac{5}{6} or x = - \frac{1}{6}

∣ x - 1 ∣ - ∣ x - 2 ∣ = 10

x^{2} + 3 ∣ x ∣ + 2 = 0

∣ x - 3 ∣ = x - 3

2 ∣ x - 2 ∣ - 3 ∣ x + 4 ∣ = 1

- 2 ∣ 2.2 x - 3.3 ∣ = - 6.6

What is the answer to 2+3|2x+1|=4 ?
The answer to 2+3|2x+1|=4 is x=-5/6 \lor x=-1/6
Solve for x: 2+3|2x+1|=4
The solution is x=-5/6 \lor x=-1/6