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

The answer to |3-2x|=6 is x=-3/2 \lor x= 9/2

Solve for x: |3-2x|=6

The solution is x=-3/2 \lor x= 9/2

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∣ 3 - 2 x ∣ = 6

x = - \frac{3}{2} or x = \frac{9}{2}

Decimal Notation

x = - 1.5, x = 4.5

Solution steps

∣ 3 - 2 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 2 x = - 6 or 3 - 2 x = 6

3 - 2 x = - 6 or 3 - 2 x = 6

x = - \frac{3}{2} or x = \frac{9}{2}

∣ 3 - 2 x ∣ = 1

9 ∣ x + 1 ∣ - 10 = 1

8 ∣ v + 1 ∣ = 48

∣ - 20 - 5 x ∣ - 70 = - 40

∣ 8 y + 2 ∣ - 17 = 0