What is the answer to 2|x-1|+2=5 ?

The answer to 2|x-1|+2=5 is x=-1/2 \lor x= 5/2

Solve for x: 2|x-1|+2=5

The solution is x=-1/2 \lor x= 5/2

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2 ∣ x - 1 ∣ + 2 = 5

x = - \frac{1}{2} or x = \frac{5}{2}

Decimal Notation

x = - 0.5, x = 2.5

Solution steps

2 ∣ x - 1 ∣ + 2 = 5

Move

2

to the right side

2 ∣ x - 1 ∣ = 3

Divide both sides by

2

∣ x - 1 ∣ = \frac{3}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 1 = - \frac{3}{2} or x - 1 = \frac{3}{2}

x - 1 = - \frac{3}{2} or x - 1 = \frac{3}{2}

x = - \frac{1}{2} or x = \frac{5}{2}

0 = - ∣ x + 6 ∣

∣ 3 x - 9 ∣ + 4 = 3

x^{2} + 2 x = 2 - ∣ x ∣

x + x^{2} + 4 - 4 x = 2

∣ 4 k ∣ = 8

What is the answer to 2|x-1|+2=5 ?
The answer to 2|x-1|+2=5 is x=-1/2 \lor x= 5/2
Solve for x: 2|x-1|+2=5
The solution is x=-1/2 \lor x= 5/2