What is the answer to |x-4|=3x+6 ?

The answer to |x-4|=3x+6 is x=-1/2

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|x-4|=3x+6

∣ x - 4 ∣ = 3 x + 6

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

Solution steps

∣ x - 4 ∣ = 3 x + 6

Find positive and negative intervals

x < 4, x \geq 4

Solve the inequality for each interval

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

x = - \frac{1}{2}

∣ u - 4 ∣ = 2

∣ 8.8 - 1.6 x ∣ - 1.2 = 2.8

∣ n + 3 ∣ = 0

∣ n + 3 ∣ = 7

∣ x - e ∣ = x