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

The answer to |4x-2|+4=4 is x= 1/2

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|4x-2|+4=4

∣ 4 x - 2 ∣ + 4 = 4

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ 4 x - 2 ∣ + 4 = 4

Subtract

4

from both sides

∣ 4 x - 2 ∣ + 4 - 4 = 4 - 4

Simplify

∣ 4 x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x - 2 = 0

4 x - 2 = 0 : x = \frac{1}{2}

x = \frac{1}{2}

4 = 2 ∣ r ∣

x, ∣ x - p ∣ = 4

2 ∣ 5 x + 6 ∣ + 2 = 6

∣ 3 x - 5 ∣ = - 8

∣ 3 x - 5 ∣ = - 7