What is the answer to 7|x-6|=10 ?

The answer to 7|x-6|=10 is x= 32/7 \lor x= 52/7

Solve for x: 7|x-6|=10

The solution is x= 32/7 \lor x= 52/7

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7 ∣ x - 6 ∣ = 10

x = \frac{32}{7} or x = \frac{52}{7}

Decimal Notation

x = 4.57142 \dots, x = 7.42857 \dots

Solution steps

7 ∣ x - 6 ∣ = 10

Divide both sides by

7

∣ x - 6 ∣ = \frac{10}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{10}{7} or x - 6 = \frac{10}{7}

x - 6 = - \frac{10}{7} or x - 6 = \frac{10}{7}

x = \frac{32}{7} or x = \frac{52}{7}

6 ∣ 3 - 9 x ∣ = 24

∣ x ∣ = \frac{3}{7}

∣ x ∣ = \frac{3}{5}

∣ 2 x ∣ - 4 = 3

∣ - 8 + r ∣ = 12

What is the answer to 7|x-6|=10 ?
The answer to 7|x-6|=10 is x= 32/7 \lor x= 52/7
Solve for x: 7|x-6|=10
The solution is x= 32/7 \lor x= 52/7