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

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

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|x-3|-5=2x

∣ x - 3 ∣ - 5 = 2 x

x = - \frac{2}{3}

Decimal Notation

x = - 0.66666 \dots

Solution steps

∣ x - 3 ∣ - 5 = 2 x

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{2}{3} or No Solution

x = - \frac{2}{3}

∣ 4 x - 1 ∣ = 2 x

∣ u - 175 ∣ - 2 = 223

∣ t + 4 ∣ - 6 = 10

3 ∣ 14 x + 11 ∣ - 9 = 12

- 2 = 1 ∣ z + 3 ∣ + 3