What is the answer to 4-3|2x+1|=-32 ?

The answer to 4-3|2x+1|=-32 is x=-13/2 \lor x= 11/2

Solve for x: 4-3|2x+1|=-32

The solution is x=-13/2 \lor x= 11/2

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4 - 3 ∣ 2 x + 1 ∣ = - 32

x = - \frac{13}{2} or x = \frac{11}{2}

Decimal Notation

x = - 6.5, x = 5.5

Solution steps

4 - 3 ∣ 2 x + 1 ∣ = - 32

Move

4

to the right side

- 3 ∣ 2 x + 1 ∣ = - 36

Divide both sides by

- 3

∣ 2 x + 1 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 1 = - 12 or 2 x + 1 = 12

2 x + 1 = - 12 or 2 x + 1 = 12

x = - \frac{13}{2} or x = \frac{11}{2}

∣ x ∣ + 2 x = 3

∣ x ∣ + 4 = - 9

∣ 3 x + 4 ∣ = 16

∣ 4 x - 1 ∣ = 2 x + 9

∣ x ∣ - 4 = 9

What is the answer to 4-3|2x+1|=-32 ?
The answer to 4-3|2x+1|=-32 is x=-13/2 \lor x= 11/2
Solve for x: 4-3|2x+1|=-32
The solution is x=-13/2 \lor x= 11/2