What is the answer to |x-1|+|2x-4|=5 ?

The answer to |x-1|+|2x-4|=5 is x=0\lor x= 10/3

Solve for x: |x-1|+|2x-4|=5

The solution is x=0\lor x= 10/3

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∣ x - 1 ∣ + ∣ 2 x - 4 ∣ = 5

x = 0 or x = \frac{10}{3}

Decimal Notation

x = 0, x = 3.33333 \dots

Solution steps

∣ x - 1 ∣ + ∣ 2 x - 4 ∣ = 5

Find positive and negative intervals

x < 1, 1 \leq x < 2, x \geq 2

Solve the inequality for each interval

x = 0 or No Solution or x = \frac{10}{3}

x = 0 or x = \frac{10}{3}

6 x^{2} - 5 x - 1 = 5 x - 6 x^{2} + 1

∣ x - 1 ∣ + ∣ x - 5 ∣ = 6

(x) = (∣ x - 5 ∣ + 1 + x) 5 - x

x^{2} - 7 x = x - 12

x ∣ x + 2 ∣ = ∣ 4 - x ∣

What is the answer to |x-1|+|2x-4|=5 ?
The answer to |x-1|+|2x-4|=5 is x=0\lor x= 10/3
Solve for x: |x-1|+|2x-4|=5
The solution is x=0\lor x= 10/3