What is the answer to 2|4x+1|+5=19 ?

The answer to 2|4x+1|+5=19 is x=-2\lor x= 3/2

Solve for x: 2|4x+1|+5=19

The solution is x=-2\lor x= 3/2

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2 ∣ 4 x + 1 ∣ + 5 = 19

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

Decimal Notation

x = - 2, x = 1.5

Solution steps

2 ∣ 4 x + 1 ∣ + 5 = 19

Move

5

to the right side

2 ∣ 4 x + 1 ∣ = 14

Divide both sides by

2

∣ 4 x + 1 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x + 1 = - 7 or 4 x + 1 = 7

4 x + 1 = - 7 or 4 x + 1 = 7

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

∣ 2 x + 5 ∣ - 1 = 0

∣ m ∣ = - 3

∣ x ∣ = ∣ x ∣

x, 2 ∣ x ∣ + y = 4

∣ x - 3 ∣ = 6 x + 17

What is the answer to 2|4x+1|+5=19 ?
The answer to 2|4x+1|+5=19 is x=-2\lor x= 3/2
Solve for x: 2|4x+1|+5=19
The solution is x=-2\lor x= 3/2