What is the answer to |2x|-4=x ?

The answer to |2x|-4=x is x=-4/3 \lor x=4

Solve for x: |2x|-4=x

The solution is x=-4/3 \lor x=4

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∣ 2 x ∣ - 4 = x

x = - \frac{4}{3} or x = 4

Decimal Notation

x = - 1.33333 \dots, x = 4

Solution steps

∣ 2 x ∣ - 4 = x

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

x = - \frac{4}{3} or x = 4

∣ m ∣ = - 10

∣ x + 3 ∣ - 4 = 12

∣ 4 x + 1 ∣ = 9

2 ∣ x + 3 ∣ + 4 = 34

- 5 ∣ x - 7 ∣ + 2 = 13