What is the answer to 2|x-5|+7=14 ?

The answer to 2|x-5|+7=14 is x= 3/2 \lor x= 17/2

Solve for x: 2|x-5|+7=14

The solution is x= 3/2 \lor x= 17/2

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2 ∣ x - 5 ∣ + 7 = 14

x = \frac{3}{2} or x = \frac{17}{2}

Decimal

x = 1.5, x = 8.5

Solution steps

2 ∣ x - 5 ∣ + 7 = 14

Move

7

to the right side

2 ∣ x - 5 ∣ = 7

Divide both sides by

2

∣ x - 5 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 5 = - \frac{7}{2} or x - 5 = \frac{7}{2}

x - 5 = - \frac{7}{2} or x - 5 = \frac{7}{2}

x = \frac{3}{2} or x = \frac{17}{2}

1 - ∣ 2 x - 1 ∣ = x

∣ t - 4 ∣ = 1

∣ t - 4 ∣ = 7

8 ∣ b + 70 ∣ = 40

∣ 11 x - 57 ∣ = - 53

What is the answer to 2|x-5|+7=14 ?
The answer to 2|x-5|+7=14 is x= 3/2 \lor x= 17/2
Solve for x: 2|x-5|+7=14
The solution is x= 3/2 \lor x= 17/2