What is the answer to |x+5|+|3-x|=15 ?

The answer to |x+5|+|3-x|=15 is x=-17/2 \lor x= 13/2

Solve for x: |x+5|+|3-x|=15

The solution is x=-17/2 \lor x= 13/2

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∣ x + 5 ∣ + ∣ 3 - x ∣ = 15

x = - \frac{17}{2} or x = \frac{13}{2}

Solution steps

∣ x + 5 ∣ + ∣ 3 - x ∣ = 15

Find positive and negative intervals

x < - 5, - 5 \leq x \leq 3, x > 3

Solve the inequality for each interval

x = - \frac{17}{2} or No Solution or x = \frac{13}{2}

x = - \frac{17}{2} or x = \frac{13}{2}

x^{2} - 5 x + 6 + x^{2} - x - 2 = 4 ∣ 2 - x ∣

5 x^{2} + 4 x ∣ x ∣ - 100 = 0

(x - 3)^{2} + ∣ x - 3 ∣ - 11 = 0

x^{2} - 3 x + 2 - x^{2} - 5 x + 4 = 2 x^{2} - 8 x + 6

∣ 3 x - 1 ∣ = 4

What is the answer to |x+5|+|3-x|=15 ?
The answer to |x+5|+|3-x|=15 is x=-17/2 \lor x= 13/2
Solve for x: |x+5|+|3-x|=15
The solution is x=-17/2 \lor x= 13/2