What is the answer to 5|x-6|-7=2 ?

The answer to 5|x-6|-7=2 is x= 21/5 \lor x= 39/5

Solve for x: 5|x-6|-7=2

The solution is x= 21/5 \lor x= 39/5

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5 ∣ x - 6 ∣ - 7 = 2

x = \frac{21}{5} or x = \frac{39}{5}

Decimal Notation

x = 4.2, x = 7.8

Solution steps

5 ∣ x - 6 ∣ - 7 = 2

Move

7

to the right side

5 ∣ x - 6 ∣ = 9

Divide both sides by

5

∣ x - 6 ∣ = \frac{9}{5}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 6 = - \frac{9}{5} or x - 6 = \frac{9}{5}

x - 6 = - \frac{9}{5} or x - 6 = \frac{9}{5}

x = \frac{21}{5} or x = \frac{39}{5}

∣ x ∣ - 6 = 4

∣ 2 x + 1 ∣ = 3 x - 4

∣ x ∣ - 5 = 4

- 2 ∣ 7 d ∣ = 14

∣ x ∣ - 8 = a

What is the answer to 5|x-6|-7=2 ?
The answer to 5|x-6|-7=2 is x= 21/5 \lor x= 39/5
Solve for x: 5|x-6|-7=2
The solution is x= 21/5 \lor x= 39/5