What is the answer to |x+2|=4x-5 ?

The answer to |x+2|=4x-5 is x= 7/3

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|x+2|=4x-5

∣ x + 2 ∣ = 4 x - 5

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

∣ x + 2 ∣ = 4 x - 5

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

No Solution or x = \frac{7}{3}

x = \frac{7}{3}

12 ∣ 9 x + 7 ∣ + 1 = 18

∣ 4 x - 3 ∣ = - 9

∣ x - 7 ∣ = 7 - x

∣ x + 20 ∣ = 340

5 ∣ 2 x + 3 ∣ - 2 = x + 5