What is the answer to |2x-5|+3=3 ?

The answer to |2x-5|+3=3 is x= 5/2

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|2x-5|+3=3

∣ 2 x - 5 ∣ + 3 = 3

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

∣ 2 x - 5 ∣ + 3 = 3

Subtract

3

from both sides

∣ 2 x - 5 ∣ + 3 - 3 = 3 - 3

Simplify

∣ 2 x - 5 ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

2 x - 5 = 0

2 x - 5 = 0 : x = \frac{5}{2}

x = \frac{5}{2}

∣ 7 + m ∣ = 9

∣ a + 4 ∣ = - a + 8

∣ - 4 x + 2 ∣ + 1 = 17

∣ 2 x + 2 ∣ + 10 = 20

∣ x + 3 ∣ - 6 = 8