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

The answer to |2x-3|+2=5 is x=0\lor x=3

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|2x-3|+2=5

∣ 2 x - 3 ∣ + 2 = 5

x = 0 or x = 3

Solution steps

∣ 2 x - 3 ∣ + 2 = 5

Move

2

to the right side

∣ 2 x - 3 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 3 = - 3 or 2 x - 3 = 3

2 x - 3 = - 3 or 2 x - 3 = 3

x = 0 or x = 3

∣ 6 x - 2 ∣ = 7

5 ∣ 8 n + 6 ∣ - 4 = 106

\frac{x}{3} = 3

∣ 3 - m ∣ = 12

4 ∣ 2 x - 4 ∣ + 5 = 10