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

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

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|2x-3|+3=3

∣ 2 x - 3 ∣ + 3 = 3

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

∣ 2 x - 3 ∣ + 3 = 3

Subtract

3

from both sides

∣ 2 x - 3 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 2 x - 3 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x - 3 = 0

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

x = \frac{3}{2}

∣ 2 x - 12 ∣ = 10

∣ - 7 x ∣ = 21

8 = ∣ s ∣ - 2

0 = - ∣ g + 5 ∣

∣ r ∣ = 9