What is the answer to 1+3|2x+1|=1616 ?

The answer to 1+3|2x+1|=1616 is x=-809/3 \lor x= 806/3

Solve for x: 1+3|2x+1|=1616

The solution is x=-809/3 \lor x= 806/3

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1 + 3 ∣ 2 x + 1 ∣ = 1616

x = - \frac{809}{3} or x = \frac{806}{3}

Decimal Notation

x = - 269.66666 \dots, x = 268.66666 \dots

Solution steps

1 + 3 ∣ 2 x + 1 ∣ = 1616

Move

1

to the right side

3 ∣ 2 x + 1 ∣ = 1615

Divide both sides by

3

∣ 2 x + 1 ∣ = \frac{1615}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - \frac{1615}{3} or 2 x + 1 = \frac{1615}{3}

2 x + 1 = - \frac{1615}{3} or 2 x + 1 = \frac{1615}{3}

x = - \frac{809}{3} or x = \frac{806}{3}

∣ x - 8 ∣ + 10 = 10

∣ 2 x - 1 ∣ = 15

∣ 2 x - 1 ∣ = 20

∣ 3 x + 3 ∣ = 18

∣ 3 x + 3 ∣ = 15

What is the answer to 1+3|2x+1|=1616 ?
The answer to 1+3|2x+1|=1616 is x=-809/3 \lor x= 806/3
Solve for x: 1+3|2x+1|=1616
The solution is x=-809/3 \lor x= 806/3