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

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

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|4x-3|+3=3

∣ 4 x - 3 ∣ + 3 = 3

x = \frac{3}{4}

Decimal

x = 0.75

Solution steps

∣ 4 x - 3 ∣ + 3 = 3

Subtract

3

from both sides

∣ 4 x - 3 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 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}

2 ∣ x + 9 ∣ + 3 = 55

x^{2} + 3 x - 7 = 3

x^{2} = 2 x

4 ∣ y - 2 ∣ - 12 = 0

∣ - 4 - 8 m ∣ = 4