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

The answer to |3-4x|=3 is x=0\lor x= 3/2

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|3-4x|=3

∣ 3 - 4 x ∣ = 3

x = 0 or x = \frac{3}{2}

Decimal

x = 0, x = 1.5

Solution steps

∣ 3 - 4 x ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = 0 or x = \frac{3}{2}

\frac{x}{7} = 4

∣ - 7 a - 10 ∣ = - 10 a

∣ 8 x + 10 ∣ = 22

2 ∣ x + 1 ∣ - 6 = 4

- ∣ x - 6 ∣ + 4 = \frac{x}{2} + 3