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

The answer to 2-x=2|x+1| is x=-4\lor x=0

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2-x=2|x+1|

2 - x = 2 ∣ x + 1 ∣

x = - 4 or x = 0

Solution steps

2 - x = 2 ∣ x + 1 ∣

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - 4 or x = 0

∣ 5 x + 3 ∣ = 10

∣ 5 x + 3 ∣ = 19

∣ g ∣ + 4 = 11

\frac{1}{2} x + 4 = 0

∣ 4 x + 1 ∣ = - 6 - 5 x