What is the answer to 7|x-2|=8 ?

The answer to 7|x-2|=8 is x= 6/7 \lor x= 22/7

Solve for x: 7|x-2|=8

The solution is x= 6/7 \lor x= 22/7

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7 ∣ x - 2 ∣ = 8

x = \frac{6}{7} or x = \frac{22}{7}

Decimal Notation

x = 0.85714 \dots, x = 3.14285 \dots

Solution steps

7 ∣ x - 2 ∣ = 8

Divide both sides by

7

∣ x - 2 ∣ = \frac{8}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{8}{7} or x - 2 = \frac{8}{7}

x - 2 = - \frac{8}{7} or x - 2 = \frac{8}{7}

x = \frac{6}{7} or x = \frac{22}{7}

∣ x - 2 ∣ = 6 x + 8

∣ x - 7 ∣ = 3 x + 2

- 2 ∣ x + 1 ∣ = 4

∣ x - 3 ∣ = 6 x + 12

∣ 4 x + 7 ∣ - 4 = 16