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

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

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

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

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4 - x = ∣ 2 - 3 x ∣

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

Solution steps

4 - x = ∣ 2 - 3 x ∣

Find positive and negative intervals

x \leq \frac{2}{3}, x > \frac{2}{3}

Solve the inequality for each interval

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

3 x^{2} + 5 x + 6 = 0

2 x^{2} + 10 x + 16 = 0

∣ x + 4 ∣ \geq - 3

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