What is the answer to -2|x+5|+3x=-22 ?

The answer to -2|x+5|+3x=-22 is x=-32/5

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-2|x+5|+3x=-22

- 2 ∣ x + 5 ∣ + 3 x = - 22

x = - \frac{32}{5}

Decimal Notation

x = - 6.4

Solution steps

- 2 ∣ x + 5 ∣ + 3 x = - 22

Find positive and negative intervals

x < - 5, x \geq - 5

Solve the inequality for each interval

x = - \frac{32}{5} or No Solution

x = - \frac{32}{5}

∣ 6 x - 12 ∣ = 18

5 ∣ 4 x ∣ = - 100

3 ∣ 2 x - 4 ∣ = 24

∣ 5 + x ∣ = 13

∣ x ∣ + 10 = 14