What is the answer to |x-3|=2x+11 ?

The answer to |x-3|=2x+11 is x=-8/3

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|x-3|=2x+11

∣ x - 3 ∣ = 2 x + 11

x = - \frac{8}{3}

Decimal Notation

x = - 2.66666 \dots

Solution steps

∣ x - 3 ∣ = 2 x + 11

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{8}{3} or No Solution

x = - \frac{8}{3}

4 + 5 ∣ 2 x - 1 ∣ = 34

∣ 2 x + 7 ∣ = 51

- 3 ∣ 5 g + 1 ∣ - 6 = - 9

∣ a + 4 ∣ = 15

∣ p ∣ = 10