What is the answer to 7|x-6|=32 ?

The answer to 7|x-6|=32 is x= 10/7 \lor x= 74/7

Solve for x: 7|x-6|=32

The solution is x= 10/7 \lor x= 74/7

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7 ∣ x - 6 ∣ = 32

x = \frac{10}{7} or x = \frac{74}{7}

Decimal Notation

x = 1.42857 \dots, x = 10.57142 \dots

Solution steps

7 ∣ x - 6 ∣ = 32

Divide both sides by

7

∣ x - 6 ∣ = \frac{32}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{32}{7} or x - 6 = \frac{32}{7}

x - 6 = - \frac{32}{7} or x - 6 = \frac{32}{7}

x = \frac{10}{7} or x = \frac{74}{7}

∣ x + 3 ∣ - 1 = (x + 2) 2

7 ∣ x - 6 ∣ = 49

∣ 5 - 10 x ∣ - 8 = 17

- ∣ v + 3 ∣ = 0

∣ 5 - 10 x ∣ - 8 = 37

What is the answer to 7|x-6|=32 ?
The answer to 7|x-6|=32 is x= 10/7 \lor x= 74/7
Solve for x: 7|x-6|=32
The solution is x= 10/7 \lor x= 74/7