What is the answer to |3-4x|=15 ?

The answer to |3-4x|=15 is x=-3\lor x= 9/2

Solve for x: |3-4x|=15

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

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∣ 3 - 4 x ∣ = 15

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

Decimal

x = - 3, x = 4.5

Solution steps

∣ 3 - 4 x ∣ = 15

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 - 4 x = - 15 or 3 - 4 x = 15

3 - 4 x = - 15 or 3 - 4 x = 15

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

b = \frac{b}{6}

∣ x - 2 ∣ = 22

∣ x - 12 ∣ = 8

∣ 5 - 2 x ∣ = 2

∣ 3 - x ∣ + 2 = 5