What is the answer to 7|x-6|=8 ?

The answer to 7|x-6|=8 is x= 34/7 \lor x= 50/7

Solve for x: 7|x-6|=8

The solution is x= 34/7 \lor x= 50/7

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7 ∣ x - 6 ∣ = 8

x = \frac{34}{7} or x = \frac{50}{7}

Decimal Notation

x = 4.85714 \dots, x = 7.14285 \dots

Solution steps

7 ∣ x - 6 ∣ = 8

Divide both sides by

7

∣ x - 6 ∣ = \frac{8}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{8}{7} or x - 6 = \frac{8}{7}

x - 6 = - \frac{8}{7} or x - 6 = \frac{8}{7}

x = \frac{34}{7} or x = \frac{50}{7}

∣ x + 6 ∣ = 0

∣ f + 3 ∣ = 2 f + 4

∣ 2 d - 5 ∣ = 13

5 ∣ 7 b + 10 ∣ - 4 = 46

- 6 - 2 ∣ b ∣ = - 8