What is the answer to solvefor x,2|x-3|=5 ?

The answer to solvefor x,2|x-3|=5 is x= 1/2 \lor x= 11/2

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solvefor x,2|x-3|=5

solve for

x, 2 ∣ x - 3 ∣ = 5

x = \frac{1}{2} or x = \frac{11}{2}

Solution steps

2 ∣ x - 3 ∣ = 5

Divide both sides by

2

∣ x - 3 ∣ = \frac{5}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 3 = - \frac{5}{2} or x - 3 = \frac{5}{2}

x - 3 = - \frac{5}{2} or x - 3 = \frac{5}{2}

x = \frac{1}{2} or x = \frac{11}{2}

∣ x - 3 ∣ = 2 - x

0 = ∣ q - 800 ∣

3 ∣ x - 1 ∣ + 2 = 8

∣ 2 x + 8 ∣ = - 4

x^{2} + ∣ x ∣ - x + 1 = 0

What is the answer to solvefor x,2|x-3|=5 ?
The answer to solvefor x,2|x-3|=5 is x= 1/2 \lor x= 11/2