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

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

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

The solution is x=-1/3 \lor x= 5/3

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\frac{2 \frac{2}{3} - x + 1}{4} = \frac{3}{4}

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

Decimal Notation

x = - 0.33333 \dots, x = 1.66666 \dots

Solution steps

\frac{2 \frac{2}{3} - x + 1}{4} = \frac{3}{4}

Multiply both sides by

4

2 \frac{2}{3} - x + 1 = 3

Move

1

to the right side

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

Divide both sides by

2

\frac{2}{3} - x = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{2}{3} - x = - 1 or \frac{2}{3} - x = 1

\frac{2}{3} - x = - 1 or \frac{2}{3} - x = 1

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

x, 3 ∣ y - 2 ∣ + 5 (2 x - y + 1)^{2} = 0

3 ∣ x ∣ + 2 = 8

x^{2} - 3 x + 2 = 2

∣ 2 x - 1 ∣ = ∣ x - 3 ∣

∣ x + 1 ∣ + ∣ x - 2 ∣ = 2

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