What is the answer to 7|x-6|=4 ?

The answer to 7|x-6|=4 is x= 38/7 \lor x= 46/7

Solve for x: 7|x-6|=4

The solution is x= 38/7 \lor x= 46/7

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7 ∣ x - 6 ∣ = 4

x = \frac{38}{7} or x = \frac{46}{7}

Decimal Notation

x = 5.42857 \dots, x = 6.57142 \dots

Solution steps

7 ∣ x - 6 ∣ = 4

Divide both sides by

7

∣ x - 6 ∣ = \frac{4}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{4}{7} or x - 6 = \frac{4}{7}

x - 6 = - \frac{4}{7} or x - 6 = \frac{4}{7}

x = \frac{38}{7} or x = \frac{46}{7}

2 = ln y - x^{2}

2 x + 1 = 5 ∣ 4 - 2 x ∣ - 10

- 3 ∣ x + 4 ∣ = - 21

7 ∣ x ∣ - 9 = 26

∣ x - 3 ∣ - 8 = 0