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

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

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solvefor x,7|x-2|=6

solve for

x, 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}

∣ 1 + 3 x ∣ = 2

∣ 3 v + 9 ∣ = - 3

- 11 ∣ v + 13 ∣ = - 132

4 ∣ f + 1 ∣ = 6

∣ v - 1 ∣ = 3

What is the answer to solvefor x,7|x-2|=6 ?
The answer to solvefor x,7|x-2|=6 is x= 8/7 \lor x= 20/7