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

The answer to |4x-3|=3-x is x=0\lor x= 6/5

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|4x-3|=3-x

∣ 4 x - 3 ∣ = 3 - x

x = 0 or x = \frac{6}{5}

Decimal Notation

x = 0, x = 1.2

Solution steps

∣ 4 x - 3 ∣ = 3 - x

Find positive and negative intervals

x < \frac{3}{4}, x \geq \frac{3}{4}

Solve the inequality for each interval

x = 0 or x = \frac{6}{5}

∣ - z ∣ - 8 = - 8

3 ∣ x ∣ = 8

∣ 5 u + 15 ∣ = 10

∣ q - 10 ∣ = 0

∣ 2 x + 1 ∣ = 2