What is the answer to 2|x-4|=-|x-2|+7 ?

The answer to 2|x-4|=-|x-2|+7 is x=1\lor x= 17/3

Solve for x: 2|x-4|=-|x-2|+7

The solution is x=1\lor x= 17/3

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2 ∣ x - 4 ∣ = - ∣ x - 2 ∣ + 7

x = 1 or x = \frac{17}{3}

Decimal

x = 1, x = 5.66666 \dots

Solution steps

2 ∣ x - 4 ∣ = - ∣ x - 2 ∣ + 7

Find positive and negative intervals

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

Solve the inequality for each interval

x = 1 or No Solution or x = \frac{17}{3}

x = 1 or x = \frac{17}{3}

4 ∣ x - 1 ∣ - 5 = 3

- 4 ∣ 2 x + 3 ∣ = 12

(x + 3) \times ∣ x - 1 ∣ = 1

x^{2} + 1 = 0

- 3 ∣ 2 x + 2 ∣ = - 7

What is the answer to 2|x-4|=-|x-2|+7 ?
The answer to 2|x-4|=-|x-2|+7 is x=1\lor x= 17/3
Solve for x: 2|x-4|=-|x-2|+7
The solution is x=1\lor x= 17/3