What is the answer to 7|x-6|=34 ?

The answer to 7|x-6|=34 is x= 8/7 \lor x= 76/7

Solve for x: 7|x-6|=34

The solution is x= 8/7 \lor x= 76/7

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7 ∣ x - 6 ∣ = 34

x = \frac{8}{7} or x = \frac{76}{7}

Decimal Notation

x = 1.14285 \dots, x = 10.85714 \dots

Solution steps

7 ∣ x - 6 ∣ = 34

Divide both sides by

7

∣ x - 6 ∣ = \frac{34}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{34}{7} or x - 6 = \frac{34}{7}

x - 6 = - \frac{34}{7} or x - 6 = \frac{34}{7}

x = \frac{8}{7} or x = \frac{76}{7}

7 ∣ x - 6 ∣ = 38

∣ 8 n + 3 ∣ = 5

7 ∣ x - 6 ∣ = 30

∣ 5 v + 10 ∣ = - 15

18 = 6 ∣ m ∣

What is the answer to 7|x-6|=34 ?
The answer to 7|x-6|=34 is x= 8/7 \lor x= 76/7
Solve for x: 7|x-6|=34
The solution is x= 8/7 \lor x= 76/7