What is the answer to |3-x|=2x+1 ?

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

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|3-x|=2x+1

∣ 3 - x ∣ = 2 x + 1

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

∣ 3 - x ∣ = 2 x + 1

Find positive and negative intervals

x \leq 3, x > 3

Solve the inequality for each interval

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

x = \frac{2}{3}

∣ 3 - x ∣ = 2 x - 1

∣ 6 - y ∣ = 10

- 20 = ∣ - w ∣

6 = ∣ x - 4 ∣

∣ - 8 y + 12 ∣ = - 6 y + 4