What is the answer to 4|2x-1|+4=20 ?

The answer to 4|2x-1|+4=20 is x=-3/2 \lor x= 5/2

Solve for x: 4|2x-1|+4=20

The solution is x=-3/2 \lor x= 5/2

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4 ∣ 2 x - 1 ∣ + 4 = 20

x = - \frac{3}{2} or x = \frac{5}{2}

Decimal Notation

x = - 1.5, x = 2.5

Solution steps

4 ∣ 2 x - 1 ∣ + 4 = 20

Move

4

to the right side

4 ∣ 2 x - 1 ∣ = 16

Divide both sides by

4

∣ 2 x - 1 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 4 or 2 x - 1 = 4

2 x - 1 = - 4 or 2 x - 1 = 4

x = - \frac{3}{2} or x = \frac{5}{2}

\frac{a}{6} - 10 = - 9

- 2 ∣ 5 + 3 x ∣ + 1 = - 5

∣ 3 x + 1 ∣ = 19

∣ 5 y + 15 ∣ = 15

3 ∣ x + 4 ∣ - 15 = 0

What is the answer to 4|2x-1|+4=20 ?
The answer to 4|2x-1|+4=20 is x=-3/2 \lor x= 5/2
Solve for x: 4|2x-1|+4=20
The solution is x=-3/2 \lor x= 5/2