What is the answer to 2-3|x+1|=4x-5 ?

The answer to 2-3|x+1|=4x-5 is x= 4/7

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2-3|x+1|=4x-5

2 - 3 ∣ x + 1 ∣ = 4 x - 5

x = \frac{4}{7}

Decimal Notation

x = 0.57142 \dots

Solution steps

2 - 3 ∣ x + 1 ∣ = 4 x - 5

Find positive and negative intervals

x < - 1, x \geq - 1

Solve the inequality for each interval

No Solution or x = \frac{4}{7}

x = \frac{4}{7}

∣ 3 b + 4 ∣ - 3 = 22

∣ x - 3 ∣ = 5 x + 5

∣ p ∣ - 2 = 8

∣ n ∣ - 5 = - 2

∣ 7 x ∣ = 9