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

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

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

The solution is x=-1/2 \lor x= 1/2

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2 ∣ x ∣ + 3 = 4

x = - \frac{1}{2} or x = \frac{1}{2}

Decimal

x = - 0.5, x = 0.5

Solution steps

2 ∣ x ∣ + 3 = 4

Move

3

to the right side

2 ∣ x ∣ = 1

Divide both sides by

2

∣ x ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - \frac{1}{2} or x = \frac{1}{2}

1 = - ∣ x - 2 ∣ + 1

∣ 2 x + 5 ∣ = - 8

9 - 2 ∣ 4 x - 2 ∣ = - 3

∣ 2 x + 1 ∣ = ∣ 3 x - 3 ∣

1 - ∣ x ∣ = 0