What is the answer to 7|x-6|=22 ?

The answer to 7|x-6|=22 is x= 20/7 \lor x= 64/7

Solve for x: 7|x-6|=22

The solution is x= 20/7 \lor x= 64/7

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7 ∣ x - 6 ∣ = 22

x = \frac{20}{7} or x = \frac{64}{7}

Decimal Notation

x = 2.85714 \dots, x = 9.14285 \dots

Solution steps

7 ∣ x - 6 ∣ = 22

Divide both sides by

7

∣ x - 6 ∣ = \frac{22}{7}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = \frac{20}{7} or x = \frac{64}{7}

x^{2} - 9 = 5

\frac{3 x}{2} = 3

∣ x ∣ = 50

∣ 8 + 5 a ∣ = 14 - a

\frac{m}{- 4} + 1 = 3

What is the answer to 7|x-6|=22 ?
The answer to 7|x-6|=22 is x= 20/7 \lor x= 64/7
Solve for x: 7|x-6|=22
The solution is x= 20/7 \lor x= 64/7