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

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

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|x-5|=3x+2

∣ x - 5 ∣ = 3 x + 2

x = \frac{3}{4}

Decimal Notation

x = 0.75

Solution steps

∣ x - 5 ∣ = 3 x + 2

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = \frac{3}{4} or No Solution

x = \frac{3}{4}

∣ 4 x + 2 ∣ = 24

- 3 ∣ r - 4 ∣ - 7 = - 222

2 ∣ x - 1 ∣ + 5 = 3

3 ∣ 3 x - 10 ∣ = 24

∣ 6 + 5 x ∣ - 6 = - 5