What is the answer to |x-2|+|x+4|=8 ?

The answer to |x-2|+|x+4|=8 is x=-5\lor x=3

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|x-2|+|x+4|=8

∣ x - 2 ∣ + ∣ x + 4 ∣ = 8

x = - 5 or x = 3

Solution steps

∣ x - 2 ∣ + ∣ x + 4 ∣ = 8

Find positive and negative intervals

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

Solve the inequality for each interval

x = - 5 or No Solution or x = 3

x = - 5 or x = 3

3 (x + 1) + 4 (x + 3) = 22

4 (3 x - 2) = 52

a^{2} - 7 a + 10 = 0

f + 8 \leq 3 and f + 9 \geq - 4

6 [x - (2 x + 3)] = 8 - 5 x

What is the answer to |x-2|+|x+4|=8 ?
The answer to |x-2|+|x+4|=8 is x=-5\lor x=3
Solve for x: |x-2|+|x+4|=8
The solution is x=-5\lor x=3