What is the answer to 7|x-6|=40 ?

The answer to 7|x-6|=40 is x= 2/7 \lor x= 82/7

Solve for x: 7|x-6|=40

The solution is x= 2/7 \lor x= 82/7

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7 ∣ x - 6 ∣ = 40

x = \frac{2}{7} or x = \frac{82}{7}

Decimal Notation

x = 0.28571 \dots, x = 11.71428 \dots

Solution steps

7 ∣ x - 6 ∣ = 40

Divide both sides by

7

∣ x - 6 ∣ = \frac{40}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{40}{7} or x - 6 = \frac{40}{7}

x - 6 = - \frac{40}{7} or x - 6 = \frac{40}{7}

x = \frac{2}{7} or x = \frac{82}{7}

∣ 3 y + 3 ∣ - 11 = 0

∣ 4 - 5 v ∣ = 39

∣ 6 x + 1 ∣ = 2

∣ 6 x ∣ = 24

3 ∣ x + 3 ∣ - 9 = 0

What is the answer to 7|x-6|=40 ?
The answer to 7|x-6|=40 is x= 2/7 \lor x= 82/7
Solve for x: 7|x-6|=40
The solution is x= 2/7 \lor x= 82/7