What is the answer to |4-2x|+|x+7|=30 ?

The answer to |4-2x|+|x+7|=30 is x=-11\lor x=9

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|4-2x|+|x+7|=30

∣ 4 - 2 x ∣ + ∣ x + 7 ∣ = 30

x = - 11 or x = 9

Solution steps

∣ 4 - 2 x ∣ + ∣ x + 7 ∣ = 30

Find positive and negative intervals

x < - 7, - 7 \leq x \leq 2, x > 2

Solve the inequality for each interval

x = - 11 or No Solution or x = 9

x = - 11 or x = 9

a, ∣ a - b ∣ = \frac{∣ b ∣}{2}

∣ x ∣ + ∣ x - 2 ∣ = 0

∣ x ∣ + ∣ x - 2 ∣ = 4

∣ x - 1 ∣ = ∣ 2 x + 1 ∣

c ∣ x - 3 ∣ + 2 ∣ - x + 1 ∣ - 6 = 0

What is the answer to |4-2x|+|x+7|=30 ?
The answer to |4-2x|+|x+7|=30 is x=-11\lor x=9
Solve for x: |4-2x|+|x+7|=30
The solution is x=-11\lor x=9