What is the answer to |x-1|+|2x-1|=6 ?

The answer to |x-1|+|2x-1|=6 is x=-4/3 \lor x= 8/3

Solve for x: |x-1|+|2x-1|=6

The solution is x=-4/3 \lor x= 8/3

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∣ x - 1 ∣ + ∣ 2 x - 1 ∣ = 6

x = - \frac{4}{3} or x = \frac{8}{3}

Decimal

x = - 1.33333 \dots, x = 2.66666 \dots

Solution steps

∣ x - 1 ∣ + ∣ 2 x - 1 ∣ = 6

Find positive and negative intervals

x < \frac{1}{2}, \frac{1}{2} \leq x < 1, x \geq 1

Solve the inequality for each interval

x = - \frac{4}{3} or No Solution or x = \frac{8}{3}

x = - \frac{4}{3} or x = \frac{8}{3}

∣ y - 7 ∣ + 6 = 16

x^{2} - 3 ∣ x ∣ = 0

1 = ∣ s + 22 ∣

∣ x - 1 ∣ + 1 = x^{2} - 4 x

∣ 6 x - 3 ∣ = 33

What is the answer to |x-1|+|2x-1|=6 ?
The answer to |x-1|+|2x-1|=6 is x=-4/3 \lor x= 8/3
Solve for x: |x-1|+|2x-1|=6
The solution is x=-4/3 \lor x= 8/3