What is the answer to 7|x-2|=10 ?

The answer to 7|x-2|=10 is x= 4/7 \lor x= 24/7

Solve for x: 7|x-2|=10

The solution is x= 4/7 \lor x= 24/7

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7 ∣ x - 2 ∣ = 10

x = \frac{4}{7} or x = \frac{24}{7}

Decimal Notation

x = 0.57142 \dots, x = 3.42857 \dots

Solution steps

7 ∣ x - 2 ∣ = 10

Divide both sides by

7

∣ x - 2 ∣ = \frac{10}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{10}{7} or x - 2 = \frac{10}{7}

x - 2 = - \frac{10}{7} or x - 2 = \frac{10}{7}

x = \frac{4}{7} or x = \frac{24}{7}

∣ x - 5 ∣ = 5

1 + ∣ 2 + x ∣ = 9

5 - 8 ∣ 2 x ∣ = - 75

∣ x + 5 ∣ + 3 = 1

∣ n - 7 ∣ = 2

What is the answer to 7|x-2|=10 ?
The answer to 7|x-2|=10 is x= 4/7 \lor x= 24/7
Solve for x: 7|x-2|=10
The solution is x= 4/7 \lor x= 24/7