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

The answer to |4-3x|=|-4| is x=0\lor x= 8/3

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|4-3x|=|-4|

∣ 4 - 3 x ∣ = ∣ - 4 ∣

x = 0 or x = \frac{8}{3}

Decimal Notation

x = 0, x = 2.66666 \dots

Solution steps

∣ 4 - 3 x ∣ = ∣ - 4 ∣

Find positive and negative intervals

x \leq \frac{4}{3}, x > \frac{4}{3}

Solve the inequality for each interval

x = 0 or x = \frac{8}{3}

x^{2} + 7 ∣ x ∣ + 10 = 0

∣ x - 5 ∣ = 2 ∣ x + 1 ∣

∣ x - 4 ∣ = ∣ 1 - x ∣

∣ x ∣ + ∣ x - 1 ∣ = 5

∣ x ∣ + ∣ x - 1 ∣ = 3