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

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

Solve for x: |2x+1|=3-x

The solution is x=-4\lor x= 2/3

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∣ 2 x + 1 ∣ = 3 - x

x = - 4 or x = \frac{2}{3}

Decimal Notation

x = - 4, x = 0.66666 \dots

Solution steps

∣ 2 x + 1 ∣ = 3 - x

Find positive and negative intervals

x < - \frac{1}{2}, x \geq - \frac{1}{2}

Solve the inequality for each interval

x = - 4 or x = \frac{2}{3}

0 = ∣ x + 13 ∣ + 2

8 + ∣ 3 x + 6 ∣ = 14

10 ∣ - 6 + 9 p ∣ + 1 = 31

2 a - 1 + ∣ a + 4 ∣ = a + 7

2 ∣ 2 x - 5 ∣ = x - 3