What is the answer to 2/3+2|x-1|=4 ?

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

Solve for x: 2/3+2|x-1|=4

The solution is x=-2/3 \lor x= 8/3

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\frac{2}{3} + 2 ∣ x - 1 ∣ = 4

x = - \frac{2}{3} or x = \frac{8}{3}

Decimal

x = - 0.66666 \dots, x = 2.66666 \dots

Solution steps

\frac{2}{3} + 2 ∣ x - 1 ∣ = 4

Move

\frac{2}{3}

to the right side

2 ∣ x - 1 ∣ = \frac{10}{3}

Divide both sides by

2

∣ x - 1 ∣ = \frac{5}{3}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{5}{3} or x - 1 = \frac{5}{3}

x - 1 = - \frac{5}{3} or x - 1 = \frac{5}{3}

x = - \frac{2}{3} or x = \frac{8}{3}

a - ∣ x ∣ = ∣ x - 2 ∣

∣ x + 1 ∣ + ∣ 2 x - 3 ∣ = 2

- 5 ∣ x - 1 ∣ = 10

∣ 10 x - 9 ∣ = 2

∣ r ∣ - 5 = - 5

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