What is the answer to 4-|x|=2x+1 ?

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

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4-|x|=2x+1

4 - ∣ x ∣ = 2 x + 1

x = 1

Solution steps

4 - ∣ x ∣ = 2 x + 1

Find positive and negative intervals

x < 0, x \geq 0

Solve the inequality for each interval

No Solution or x = 1

x = 1

x^{2} - 2 = ∣ x ∣

∣ 3 x ∣ + 2 = 8

\frac{x}{4} = 3

4 ∣ 2 x - 6 ∣ + 5 = 5

∣ x - 2 ∣ = 2 x - 1