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

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

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3|2x-3|+2=2

3 ∣ 2 x - 3 ∣ + 2 = 2

x = \frac{3}{2}

Decimal

x = 1.5

Solution steps

3 ∣ 2 x - 3 ∣ + 2 = 2

Subtract

2

from both sides

3 ∣ 2 x - 3 ∣ + 2 - 2 = 2 - 2

Simplify

3 ∣ 2 x - 3 ∣ = 0

Divide both sides by

3

∣ 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}

4 ∣ x ∣ - 11 = 25 - 2 ∣ x ∣

∣ 2 x - 7 ∣ = 4 x - 5

∣ 9 - 4 x ∣ = 7

∣ 4 z + 3 ∣ + 5 = 8

3 ∣ 2 x + 4 ∣ = 18