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

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

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|x-5|=3x+3

∣ x - 5 ∣ = 3 x + 3

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

∣ x - 5 ∣ = 3 x + 3

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

x = \frac{1}{2} or No Solution

x = \frac{1}{2}

∣ - 2 x + 7 ∣ = 25

5 = 2 ∣ x - 4 ∣ - 3

∣ 3 - 2 x ∣ = 2

∣ y ∣ = 8

∣ y ∣ = 1