What is the answer to |(x/2)+3|=(14/9) ?

The answer to |(x/2)+3|=(14/9) is x=-82/9 \lor x=-26/9

Solve for x: |(x/2)+3|=(14/9)

The solution is x=-82/9 \lor x=-26/9

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(\frac{x}{2}) + 3 = (\frac{14}{9})

x = - \frac{82}{9} or x = - \frac{26}{9}

Decimal

x = - 9.11111 \dots, x = - 2.88888 \dots

Solution steps

\frac{x}{2} + 3 = \frac{14}{9}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

\frac{x}{2} + 3 = - \frac{14}{9} or \frac{x}{2} + 3 = \frac{14}{9}

\frac{x}{2} + 3 = - \frac{14}{9} or \frac{x}{2} + 3 = \frac{14}{9}

x = - \frac{82}{9} or x = - \frac{26}{9}

a, ∣ 4 a - 5 b ∣ - ∣ 2 a - b ∣ = 0

3 x - x^{3} = x

6 + ∣ x - 1 ∣ = 9

∣ 5 x + 3 ∣ + 1 = 8

∣ 2 x - 5 ∣ = ∣ 3 x + 1 ∣

What is the answer to |(x/2)+3|=(14/9) ?
The answer to |(x/2)+3|=(14/9) is x=-82/9 \lor x=-26/9
Solve for x: |(x/2)+3|=(14/9)
The solution is x=-82/9 \lor x=-26/9