What is the answer to 7|x-2|-|x-7|=5 ?

The answer to 7|x-2|-|x-7|=5 is x= 1/3 \lor x= 13/4

Solve for x: 7|x-2|-|x-7|=5

The solution is x= 1/3 \lor x= 13/4

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7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5

x = \frac{1}{3} or x = \frac{13}{4}

Decimal Notation

x = 0.33333 \dots, x = 3.25

Solution steps

7 ∣ x - 2 ∣ - ∣ x - 7 ∣ = 5

Find positive and negative intervals

x < 2, 2 \leq x < 7, x \geq 7

Solve the inequality for each interval

x = \frac{1}{3} or x = \frac{13}{4} or No Solution

x = \frac{1}{3} or x = \frac{13}{4}

x^{2} + ∣ x - 1 ∣ = 1

∣ x - 4 ∣ - ∣ x + 4 ∣ = 8

∣ 12 + 3 b ∣ = - 3

∣ x ∣ + ∣ x + 1 ∣ = 1

x^{2} + x - 4 = x^{2} - 4 + ∣ x ∣

What is the answer to 7|x-2|-|x-7|=5 ?
The answer to 7|x-2|-|x-7|=5 is x= 1/3 \lor x= 13/4
Solve for x: 7|x-2|-|x-7|=5
The solution is x= 1/3 \lor x= 13/4