What is the answer to 7|x-6|=12 ?

The answer to 7|x-6|=12 is x= 30/7 \lor x= 54/7

Solve for x: 7|x-6|=12

The solution is x= 30/7 \lor x= 54/7

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7 ∣ x - 6 ∣ = 12

x = \frac{30}{7} or x = \frac{54}{7}

Decimal Notation

x = 4.28571 \dots, x = 7.71428 \dots

Solution steps

7 ∣ x - 6 ∣ = 12

Divide both sides by

7

∣ x - 6 ∣ = \frac{12}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{12}{7} or x - 6 = \frac{12}{7}

x - 6 = - \frac{12}{7} or x - 6 = \frac{12}{7}

x = \frac{30}{7} or x = \frac{54}{7}

- 66 = - ∣ r ∣ - 5

- 4 ∣ 6 u + 10 ∣ = 8

y = 68 - 31 ∣ y ∣

∣ 10 n - 2 ∣ + 6 = 5

1 = ∣ s + 7 ∣

What is the answer to 7|x-6|=12 ?
The answer to 7|x-6|=12 is x= 30/7 \lor x= 54/7
Solve for x: 7|x-6|=12
The solution is x= 30/7 \lor x= 54/7