What is the answer to | x/3 |+3=5 ?

The answer to | x/3 |+3=5 is x=-6\lor x=6

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| x/3 |+3=5

\frac{x}{3} + 3 = 5

x = - 6 or x = 6

Solution steps

\frac{x}{3} + 3 = 5

Move

3

to the right side

\frac{x}{3} = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 6 or x = 6

\frac{v}{3} = 1

x^{2} + ∣ 2 x - 1 ∣ = x - 1

∣ x - 3 ∣ + 7 = 2

4 ∣ v - 2 ∣ = 28

∣ 6 x ∣ = ∣ 3 x - 9 ∣