What is the answer to 8|x-5|+7=11 ?

The answer to 8|x-5|+7=11 is x= 9/2 \lor x= 11/2

Solve for x: 8|x-5|+7=11

The solution is x= 9/2 \lor x= 11/2

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8 ∣ x - 5 ∣ + 7 = 11

x = \frac{9}{2} or x = \frac{11}{2}

Decimal Notation

x = 4.5, x = 5.5

Solution steps

8 ∣ x - 5 ∣ + 7 = 11

Move

7

to the right side

8 ∣ x - 5 ∣ = 4

Divide both sides by

8

∣ x - 5 ∣ = \frac{1}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{9}{2} or x = \frac{11}{2}

∣ x + 5 ∣ + 8 = 7

6 ∣ 5 x + 2 ∣ = 312

12 = 2 ∣ x - 2 ∣

1 - 3 - 7 ∣ 7 x + 3 ∣ = - 31

4 - ∣ 2 x - 1 ∣ = - 3

What is the answer to 8|x-5|+7=11 ?
The answer to 8|x-5|+7=11 is x= 9/2 \lor x= 11/2
Solve for x: 8|x-5|+7=11
The solution is x= 9/2 \lor x= 11/2