What is the answer to | x/3 |+4=5 ?

The answer to | x/3 |+4=5 is x=-3\lor x=3

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| x/3 |+4=5

\frac{x}{3} + 4 = 5

x = - 3 or x = 3

Solution steps

\frac{x}{3} + 4 = 5

Move

4

to the right side

\frac{x}{3} = 1

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 3 or x = 3

∣ v ∣ = 2

x, ∣ x - y ∣ = 1

∣ 2 x + 2 ∣ + 1 = 3

\frac{1}{2} x + 1 = 5

∣ x - 9 ∣ = 0