What is the answer to |2x-1|+4=8 ?

The answer to |2x-1|+4=8 is x=-3/2 \lor x= 5/2

Solve for x: |2x-1|+4=8

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

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∣ 2 x - 1 ∣ + 4 = 8

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

Decimal Notation

x = - 1.5, x = 2.5

Solution steps

∣ 2 x - 1 ∣ + 4 = 8

Move

4

to the right side

∣ 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}

x + ∣ 1 + 2 x ∣ = - 2

∣ x - 6 ∣ = 1

6 + 6 ∣ a ∣ = 18

2 x = ∣ x ∣ + 5

- 3 ∣ x + 8 ∣ - 3 = 0

What is the answer to |2x-1|+4=8 ?
The answer to |2x-1|+4=8 is x=-3/2 \lor x= 5/2
Solve for x: |2x-1|+4=8
The solution is x=-3/2 \lor x= 5/2