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

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

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|x+2|=4-3x

∣ x + 2 ∣ = 4 - 3 x

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ x + 2 ∣ = 4 - 3 x

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = \frac{1}{2}

x = \frac{1}{2}

∣ 6 - 2 x ∣ = - 3

5 ∣ x - 2 ∣ - 5 = 2

∣ x ∣ - 4 = - 4

- 9 ∣ - x + 5 ∣ = 0

∣ 5 x - 10 ∣ + 2 = 2