What is the answer to |6x-2|-3=-3 ?

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

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|6x-2|-3=-3

∣ 6 x - 2 ∣ - 3 = - 3

x = \frac{1}{3}

Decimal

x = 0.33333 \dots

Solution steps

∣ 6 x - 2 ∣ - 3 = - 3

Add

3

to both sides

∣ 6 x - 2 ∣ - 3 + 3 = - 3 + 3

Simplify

∣ 6 x - 2 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

6 x - 2 = 0

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

x = \frac{1}{3}

y, x = ∣ y - 6 ∣ + 7

∣ x - 1 ∣ = ∣ x + 3 ∣

∣ x + 1 ∣ + ∣ 3 x - 2 ∣ = 2

∣ 4 n - 15 ∣ = ∣ n ∣

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