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

The answer to | x/2+1/3 |=4 is x=-26/3 \lor x= 22/3

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

The solution is x=-26/3 \lor x= 22/3

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

x = - \frac{26}{3} or x = \frac{22}{3}

Decimal

x = - 8.66666 \dots, x = 7.33333 \dots

Solution steps

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

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - \frac{26}{3} or x = \frac{22}{3}

x^{2} - 4 + 9 = 5

4 x^{3} - \frac{x}{∣ x ∣} = 0

∣ x + 4 ∣ = 29

- 3 ∣ - 5 x - 1 ∣ = - 2 x + 3

∣ x + 1 ∣ + ∣ x - 1 ∣ = x + 4

What is the answer to | x/2+1/3 |=4 ?
The answer to | x/2+1/3 |=4 is x=-26/3 \lor x= 22/3
Solve for x: | x/2+1/3 |=4
The solution is x=-26/3 \lor x= 22/3