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

The answer to |x+1|=4+2x is x=-5/3

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|x+1|=4+2x

∣ x + 1 ∣ = 4 + 2 x

x = - \frac{5}{3}

Decimal Notation

x = - 1.66666 \dots

Solution steps

∣ x + 1 ∣ = 4 + 2 x

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

x = - \frac{5}{3} or No Solution

x = - \frac{5}{3}

∣ x - 1 ∣ - 2 \geq = 0

x^{2} + x - 2 = x + 3

17 = 3 ∣ z + 3 ∣ - 4

∣ x + 1 ∣ + 9 = 4

∣ x + 1 ∣ + 9 = 6