What is the answer to |4x-4|=14 ?

The answer to |4x-4|=14 is x=-5/2 \lor x= 9/2

Solve for x: |4x-4|=14

The solution is x=-5/2 \lor x= 9/2

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∣ 4 x - 4 ∣ = 14

x = - \frac{5}{2} or x = \frac{9}{2}

Decimal Notation

x = - 2.5, x = 4.5

Solution steps

∣ 4 x - 4 ∣ = 14

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 4 = - 14 or 4 x - 4 = 14

4 x - 4 = - 14 or 4 x - 4 = 14

x = - \frac{5}{2} or x = \frac{9}{2}

∣ 4 x - 4 ∣ = 15

∣ 4 x - 4 ∣ = 11

- ∣ z - 6 ∣ + 2 = - 4

∣ 2 x + 1 ∣ = 6 x - 5

2 ∣ x ∣ - 3 = 8