What is the answer to 7|x-2|=4 ?

The answer to 7|x-2|=4 is x= 10/7 \lor x= 18/7

Solve for x: 7|x-2|=4

The solution is x= 10/7 \lor x= 18/7

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7 ∣ x - 2 ∣ = 4

x = \frac{10}{7} or x = \frac{18}{7}

Decimal Notation

x = 1.42857 \dots, x = 2.57142 \dots

Solution steps

7 ∣ x - 2 ∣ = 4

Divide both sides by

7

∣ x - 2 ∣ = \frac{4}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{4}{7} or x - 2 = \frac{4}{7}

x - 2 = - \frac{4}{7} or x - 2 = \frac{4}{7}

x = \frac{10}{7} or x = \frac{18}{7}

∣ x + 2 ∣ = 2 - x

∣ 5 x + 8 ∣ - 8 = 3 x

∣ - 10 - 2 x ∣ = 14

x, 2 ∣ x ∣ + y = 0

2 ∣ 3 x - 5 ∣ = 14