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

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

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

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

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∣ 2 x + 3 ∣ = 1 - x

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

Decimal Notation

x = - 4, x = - 0.66666 \dots

Solution steps

∣ 2 x + 3 ∣ = 1 - x

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

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

7 x + 9 = 9 x - 23

(\frac{2}{5})^{1}

- 2 x - 15 < - x + 8

x^{2} - x - 30 = 0

6 (7 - x) = 8 (6 - x)