What is the answer to 2|4x-3|-3=-3 ?

The answer to 2|4x-3|-3=-3 is x= 3/4

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2|4x-3|-3=-3

2 ∣ 4 x - 3 ∣ - 3 = - 3

x = \frac{3}{4}

Solution steps

2 ∣ 4 x - 3 ∣ - 3 = - 3

Add

3

to both sides

2 ∣ 4 x - 3 ∣ - 3 + 3 = - 3 + 3

Simplify

2 ∣ 4 x - 3 ∣ = 0

Divide both sides by

2

∣ 4 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

4 x - 3 = 0

4 x - 3 = 0 : x = \frac{3}{4}

x = \frac{3}{4}

∣ 6 x + 1 ∣ + 5 = 17

∣ m - 2 ∣ = 2

∣ 3 x + 2 ∣ = 8

2 ∣ 4 x - 5 ∣ - 8 = - 6

∣ x - 2 ∣ = 3 x