What is the answer to |x-2|+10=2x ?

The answer to |x-2|+10=2x is x=8

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|x-2|+10=2x

∣ x - 2 ∣ + 10 = 2 x

x = 8

Solution steps

∣ x - 2 ∣ + 10 = 2 x

Find positive and negative intervals

x < 2, x \geq 2

Solve the inequality for each interval

No Solution or x = 8

x = 8

∣ 3 x ∣ = 2 x + 20

∣ 2 x - 5 ∣ = 15

∣ 2 x + 3 ∣ + 9 = 4

∣ x + 4 ∣ = x + 1

2 ∣ x + 2 ∣ - 1 = 5