What is the answer to |x-5|+|x-8|=14 ?

The answer to |x-5|+|x-8|=14 is x=-1/2 \lor x= 27/2

Solve for x: |x-5|+|x-8|=14

The solution is x=-1/2 \lor x= 27/2

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∣ x - 5 ∣ + ∣ x - 8 ∣ = 14

x = - \frac{1}{2} or x = \frac{27}{2}

Decimal Notation

x = - 0.5, x = 13.5

Solution steps

∣ x - 5 ∣ + ∣ x - 8 ∣ = 14

Find positive and negative intervals

x < 5, 5 \leq x < 8, x \geq 8

Solve the inequality for each interval

x = - \frac{1}{2} or No Solution or x = \frac{27}{2}

x = - \frac{1}{2} or x = \frac{27}{2}

∣ x - 1 ∣ + 2 = 4

∣ 2 x - 7 ∣ = ∣ x + 4 ∣

∣ 4 x - 2 ∣ = ∣ x + 7 ∣

\frac{x - 2}{3} - 0 (3) = \frac{1}{3}

2 ∣ x ∣ + ∣ 2 x + 3 ∣ = 7

What is the answer to |x-5|+|x-8|=14 ?
The answer to |x-5|+|x-8|=14 is x=-1/2 \lor x= 27/2
Solve for x: |x-5|+|x-8|=14
The solution is x=-1/2 \lor x= 27/2