What is the answer to |x+2|+|3x+6|=40 ?

The answer to |x+2|+|3x+6|=40 is x=-12\lor x=8

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|x+2|+|3x+6|=40

∣ x + 2 ∣ + ∣ 3 x + 6 ∣ = 40

x = - 12 or x = 8

Solution steps

∣ x + 2 ∣ + ∣ 3 x + 6 ∣ = 40

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

x = - 12 or x = 8

∣ - 4 + 5 x ∣ = 17 x

∣ 2 x - 1 ∣ = ∣ 4 x + 3 ∣

5 ∣ 9 - 5 x ∣ - 7 = 38

∣ x ∣ - ∣ y ∣ = 1

3 x^{2} - x = 8 + x

What is the answer to |x+2|+|3x+6|=40 ?
The answer to |x+2|+|3x+6|=40 is x=-12\lor x=8
Solve for x: |x+2|+|3x+6|=40
The solution is x=-12\lor x=8