What is the answer to |-4x+2|+1=17 ?

The answer to |-4x+2|+1=17 is x=-7/2 \lor x= 9/2

Solve for x: |-4x+2|+1=17

The solution is x=-7/2 \lor x= 9/2

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∣ - 4 x + 2 ∣ + 1 = 17

x = - \frac{7}{2} or x = \frac{9}{2}

Decimal Notation

x = - 3.5, x = 4.5

Solution steps

∣ - 4 x + 2 ∣ + 1 = 17

Move

1

to the right side

∣ - 4 x + 2 ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 4 x + 2 = - 16 or - 4 x + 2 = 16

- 4 x + 2 = - 16 or - 4 x + 2 = 16

x = - \frac{7}{2} or x = \frac{9}{2}

∣ 2 x + 2 ∣ + 10 = 20

∣ x + 3 ∣ - 6 = 8

- 16 = - 4 ∣ - h ∣

- 9 + 2 ∣ 6 x + 2 ∣ = - 7

2 ∣ 4 x - 1 ∣ = x + 1

What is the answer to |-4x+2|+1=17 ?
The answer to |-4x+2|+1=17 is x=-7/2 \lor x= 9/2
Solve for x: |-4x+2|+1=17
The solution is x=-7/2 \lor x= 9/2