What is the answer to |2x+5|=3-x ?

The answer to |2x+5|=3-x is x=-8\lor x=-2/3

Solve for x: |2x+5|=3-x

The solution is x=-8\lor x=-2/3

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∣ 2 x + 5 ∣ = 3 - x

x = - 8 or x = - \frac{2}{3}

Decimal Notation

x = - 8, x = - 0.66666 \dots

Solution steps

∣ 2 x + 5 ∣ = 3 - x

Find positive and negative intervals

x < - \frac{5}{2}, x \geq - \frac{5}{2}

Solve the inequality for each interval

x = - 8 or x = - \frac{2}{3}

7 ∣ - 2 x + 5 ∣ - 10 = - 11

3 + 5 ∣ 7 - 3 x ∣ = 23

- 7 ∣ x ∣ = 28

∣ 7 - 3 x ∣ = 2

∣ x + 8 ∣ - 1 = 2