What is the answer to |3x-2|=4-x ?

The answer to |3x-2|=4-x is x=-1\lor x= 3/2

Solve for x: |3x-2|=4-x

The solution is x=-1\lor x= 3/2

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∣ 3 x - 2 ∣ = 4 - x

x = - 1 or x = \frac{3}{2}

Decimal Notation

x = - 1, x = 1.5

Solution steps

∣ 3 x - 2 ∣ = 4 - x

Find positive and negative intervals

x < \frac{2}{3}, x \geq \frac{2}{3}

Solve the inequality for each interval

x = - 1 or x = \frac{3}{2}

∣ 2 x ∣ = 3 x - 1

∣ 4 - x ∣ = 2

2 ∣ 4 x - 1 ∣ = 6

16 = ∣ 5 t + 4 ∣

- 4 = 4 ∣ x + 4 ∣ + 7