What is the answer to |x-2|+|2x-3|+|3x-8|=18 ?

The answer to |x-2|+|2x-3|+|3x-8|=18 is x=-5/6 \lor x= 31/6

Solve for x: |x-2|+|2x-3|+|3x-8|=18

The solution is x=-5/6 \lor x= 31/6

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∣ x - 2 ∣ + ∣ 2 x - 3 ∣ + ∣ 3 x - 8 ∣ = 18

x = - \frac{5}{6} or x = \frac{31}{6}

Decimal Notation

x = - 0.83333 \dots, x = 5.16666 \dots

Solution steps

∣ x - 2 ∣ + ∣ 2 x - 3 ∣ + ∣ 3 x - 8 ∣ = 18

Find positive and negative intervals

x < \frac{3}{2}, \frac{3}{2} \leq x < 2, 2 \leq x < \frac{8}{3}, x \geq \frac{8}{3}

Solve the inequality for each interval

x = - \frac{5}{6} or No Solution or x = \frac{31}{6}

x = - \frac{5}{6} or x = \frac{31}{6}

∣ x ∣ + 4 = 10

∣ 2 x - 6 ∣ + ∣ x - y + 3 ∣ = 0

x^{2} - 3 x + 2 = 0

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

2 x^{2} - 4 = x^{2}

What is the answer to |x-2|+|2x-3|+|3x-8|=18 ?
The answer to |x-2|+|2x-3|+|3x-8|=18 is x=-5/6 \lor x= 31/6
Solve for x: |x-2|+|2x-3|+|3x-8|=18
The solution is x=-5/6 \lor x= 31/6