What is the answer to |6x-3|+3=3 ?

The answer to |6x-3|+3=3 is x= 1/2

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|6x-3|+3=3

∣ 6 x - 3 ∣ + 3 = 3

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ 6 x - 3 ∣ + 3 = 3

Subtract

3

from both sides

∣ 6 x - 3 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 6 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x - 3 = 0

6 x - 3 = 0 : x = \frac{1}{2}

x = \frac{1}{2}

\frac{1}{4} x = 4 x

3 ∣ u - 3 ∣ + 11 = 50

∣ - 5 x - 8 ∣ = 12

∣ 4 x - 5 ∣ = 5 x - 2

x, f = l ∣ x ∣ l