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

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

Solve for x: x+|1+2x|=2

The solution is x=-3\lor x= 1/3

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x + ∣ 1 + 2 x ∣ = 2

x = - 3 or x = \frac{1}{3}

Decimal Notation

x = - 3, x = 0.33333 \dots

Solution steps

x + ∣ 1 + 2 x ∣ = 2

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

x = - 3 or x = \frac{1}{3}

∣ 5 x + 90 ∣ = 10 x

∣ 3 x - 4 ∣ - 3 = 0

∣ 8 x ∣ - 8 = 16

∣ 14 - z ∣ - 10 = 1

∣ 10 + 2 x ∣ = 28