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

The answer to 1/2 |x|+3=3 is x=0

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1/2 |x|+3=3

\frac{1}{2} ∣ x ∣ + 3 = 3

x = 0

Solution steps

\frac{1}{2} ∣ x ∣ + 3 = 3

Subtract

3

from both sides

\frac{1}{2} ∣ x ∣ + 3 - 3 = 3 - 3

Simplify

\frac{1}{2} ∣ x ∣ = 0

Multiply both sides by

2

∣ x ∣ = 0

Apply absolute rule: If

∣ u ∣ = 0

then

u = 0

x = 0

∣ - 3 x ∣ + 11 = - 5

∣ - 9 x - 5 ∣ - 6 = 2

∣ 3 x + 2 ∣ + 3 = 8

∣ 5 - 5 x ∣ = 3

∣ 2 t - 4 ∣ = t - 3