What is the answer to |x+1|+3|x-2|+5|x-4|=20 ?

The answer to |x+1|+3|x-2|+5|x-4|=20 is x=1\lor x=5

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|x+1|+3|x-2|+5|x-4|=20

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

x = 1 or x = 5

Solution steps

∣ x + 1 ∣ + 3 ∣ x - 2 ∣ + 5 ∣ x - 4 ∣ = 20

Find positive and negative intervals

x < - 1, - 1 \leq x < 2, 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

No Solution or x = 1 or x = 5

x = 1 or x = 5

y, x^{2} + (y - ∣ x ∣)^{2} = 1

\frac{∣ x ∣ + 2}{5} = \frac{5}{6}

∣ x ∣ + 2 = 3

2 ∣ x ∣ + ∣ x - 1 ∣ = 5

∣ x + 1 ∣ - ∣ x ∣ = \frac{x}{2}

What is the answer to |x+1|+3|x-2|+5|x-4|=20 ?
The answer to |x+1|+3|x-2|+5|x-4|=20 is x=1\lor x=5
Solve for x: |x+1|+3|x-2|+5|x-4|=20
The solution is x=1\lor x=5