What is the answer to 6|3-2x|+5=11 ?

The answer to 6|3-2x|+5=11 is x=1\lor x=2

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6|3-2x|+5=11

6 ∣ 3 - 2 x ∣ + 5 = 11

x = 1 or x = 2

Solution steps

6 ∣ 3 - 2 x ∣ + 5 = 11

Move

5

to the right side

6 ∣ 3 - 2 x ∣ = 6

Divide both sides by

6

∣ 3 - 2 x ∣ = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 2 x = - 1 or 3 - 2 x = 1

3 - 2 x = - 1 or 3 - 2 x = 1

x = 1 or x = 2

∣ 3 f + 0.5 ∣ - 1 = 7

∣ 2 x + 5 ∣ = x - 4

2 ∣ 4 - m ∣ = - 3 m

∣ 5 x + 10 ∣ = 15

∣ x - 7 ∣ = 0