What is the answer to 7|x-2|=6 ?

The answer to 7|x-2|=6 is x= 8/7 \lor x= 20/7

Solve for x: 7|x-2|=6

The solution is x= 8/7 \lor x= 20/7

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7 ∣ x - 2 ∣ = 6

x = \frac{8}{7} or x = \frac{20}{7}

Decimal Notation

x = 1.14285 \dots, x = 2.85714 \dots

Solution steps

7 ∣ x - 2 ∣ = 6

Divide both sides by

7

∣ x - 2 ∣ = \frac{6}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 2 = - \frac{6}{7} or x - 2 = \frac{6}{7}

x - 2 = - \frac{6}{7} or x - 2 = \frac{6}{7}

x = \frac{8}{7} or x = \frac{20}{7}

- ∣ 7 - x ∣ - 5 = - 12

∣ 4 x - 4 ∣ - 8 = - 3

∣ 5 x - 1 ∣ - 5 = 4

3^{x} + ∣ x ∣ = 3

4 + 3 ∣ 3 x - 7 ∣ = 28