What is the answer to |x-3|=2x+4 ?

The answer to |x-3|=2x+4 is x=-1/3

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|x-3|=2x+4

∣ x - 3 ∣ = 2 x + 4

x = - \frac{1}{3}

Decimal

x = - 0.33333 \dots

Solution steps

∣ x - 3 ∣ = 2 x + 4

Find positive and negative intervals

x < 3, x \geq 3

Solve the inequality for each interval

x = - \frac{1}{3} or No Solution

x = - \frac{1}{3}

8 - 8 ∣ 6 + 3 x ∣ = - 88

- 3 ∣ x - 2 ∣ + 4 = - \frac{1}{2}

∣ 9 x + 20 ∣ = 38

\frac{1}{3} ∣ 3 x - 6 ∣ - 2 = 5

\frac{2}{3} ∣ 4 (3 x + 1) - 1 ∣ - 5 = 3