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

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

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|2x+2|-3=x-2

∣ 2 x + 2 ∣ - 3 = x - 2

x = - 1

Solution steps

∣ 2 x + 2 ∣ - 3 = x - 2

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = - 1

x = - 1

x, ∣ x - 2 ∣ = x

7 - ∣ 2 x - 1 ∣ = 2

2 ∣ x + 1 ∣ + 3 = 7

0 = ∣ k + 6 ∣

∣ b + 5 ∣ - 5 = 6