What is the answer to |x-1|+|3x+6|=7 ?

The answer to |x-1|+|3x+6|=7 is x=-3\lor x=0

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|x-1|+|3x+6|=7

∣ x - 1 ∣ + ∣ 3 x + 6 ∣ = 7

x = - 3 or x = 0

Solution steps

∣ x - 1 ∣ + ∣ 3 x + 6 ∣ = 7

Find positive and negative intervals

x < - 2, - 2 \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - 3 or x = 0 or No Solution

x = - 3 or x = 0

∣ 7 x - 12 ∣ - ∣ 7 x - 11 ∣ = 1

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

∣ x - 2 ∣ + ∣ x - 4 ∣ = 6

∣ x + 3 ∣ - ∣ 2 x - 5 ∣ = 7

∣ x ∣ + ∣ y ∣ + ∣ x + y ∣ = 24

What is the answer to |x-1|+|3x+6|=7 ?
The answer to |x-1|+|3x+6|=7 is x=-3\lor x=0
Solve for x: |x-1|+|3x+6|=7
The solution is x=-3\lor x=0