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

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

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|x-3|=x+5

∣ x - 3 ∣ = x + 5

x = - 1

Solution steps

∣ x - 3 ∣ = x + 5

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - 1 or No Solution

x = - 1

\frac{4 x + 1}{3} = 1

10 ∣ z - 8 ∣ + 6 = 16

∣ 7 x - 3 ∣ + 4 = 15

∣ 6 x - 3 ∣ = 27

∣ z ∣ - 1 = 6