What is the answer to 2|x-1|=8+2x ?

The answer to 2|x-1|=8+2x is x=-3/2

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2|x-1|=8+2x

2 ∣ x - 1 ∣ = 8 + 2 x

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

2 ∣ x - 1 ∣ = 8 + 2 x

Find positive and negative intervals

x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{3}{2} or No Solution

x = - \frac{3}{2}

∣ a + 5 ∣ = 1

6 = ∣ z - 6 ∣

∣ 2 v + 8 ∣ - 30 = - 10

∣ 6 - 2 m ∣ = 48

∣ a - 6 ∣ = 7 a - 1