What is the answer to |3x-8|+|3x+1|+|3x+5|=21 ?

The answer to |3x-8|+|3x+1|+|3x+5|=21 is x=-19/9 \lor x= 7/3

Solve for x: |3x-8|+|3x+1|+|3x+5|=21

The solution is x=-19/9 \lor x= 7/3

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∣ 3 x - 8 ∣ + ∣ 3 x + 1 ∣ + ∣ 3 x + 5 ∣ = 21

x = - \frac{19}{9} or x = \frac{7}{3}

Solution steps

∣ 3 x - 8 ∣ + ∣ 3 x + 1 ∣ + ∣ 3 x + 5 ∣ = 21

Find positive and negative intervals

x < - \frac{5}{3}, - \frac{5}{3} \leq x < - \frac{1}{3}, - \frac{1}{3} \leq x < \frac{8}{3}, x \geq \frac{8}{3}

Solve the inequality for each interval

x = - \frac{19}{9} or No Solution or x = \frac{7}{3}

x = - \frac{19}{9} or x = \frac{7}{3}

∣ x - 4 ∣ - ∣ x - 2 ∣ = 3

∣ 2 - x ∣ = - 1

∣ x - 3 ∣ - ∣ x + 1 ∣ - ∣ x - 1 ∣ = - 2

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

x^{2} - 4 x + 3 = 3 x^{2} - 5 x + 4

What is the answer to |3x-8|+|3x+1|+|3x+5|=21 ?
The answer to |3x-8|+|3x+1|+|3x+5|=21 is x=-19/9 \lor x= 7/3
Solve for x: |3x-8|+|3x+1|+|3x+5|=21
The solution is x=-19/9 \lor x= 7/3