What is the answer to |2x+4|+|3x+6|=10 ?

The answer to |2x+4|+|3x+6|=10 is x=-4\lor x=0

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|2x+4|+|3x+6|=10

∣ 2 x + 4 ∣ + ∣ 3 x + 6 ∣ = 10

x = - 4 or x = 0

Solution steps

∣ 2 x + 4 ∣ + ∣ 3 x + 6 ∣ = 10

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

x = - 4 or x = 0

∣ 2 x - 1 ∣ = x - 3

∣ 2 x + 1 ∣ = ∣ 3 x + 3 ∣

2 ∣ 4 - 2 x ∣ = 9 - x

∣ x - 2 ∣ + ∣ 2 - x ∣ = 10

∣ x - 3 ∣ = ∣ 2 x - 8 ∣

What is the answer to |2x+4|+|3x+6|=10 ?
The answer to |2x+4|+|3x+6|=10 is x=-4\lor x=0
Solve for x: |2x+4|+|3x+6|=10
The solution is x=-4\lor x=0