What is the answer to |x|+1=2x-5 ?

The answer to |x|+1=2x-5 is x=6

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|x|+1=2x-5

∣ x ∣ + 1 = 2 x - 5

x = 6

Solution steps

∣ x ∣ + 1 = 2 x - 5

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = 6

x = 6

∣ 2 x + 10 ∣ + 8 = 14

∣ - h ∣ = 10

3 ∣ x - 8 ∣ + 15 = 18

∣ y - 80 ∣ - 5 = 15

∣ x + 8 ∣ + 7 = 35