What is the answer to 6|x-20|-5=50 ?

The answer to 6|x-20|-5=50 is x= 65/6 \lor x= 175/6

Solve for x: 6|x-20|-5=50

The solution is x= 65/6 \lor x= 175/6

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6 ∣ x - 20 ∣ - 5 = 50

x = \frac{65}{6} or x = \frac{175}{6}

Decimal Notation

x = 10.83333 \dots, x = 29.16666 \dots

Solution steps

6 ∣ x - 20 ∣ - 5 = 50

Move

5

to the right side

6 ∣ x - 20 ∣ = 55

Divide both sides by

6

∣ x - 20 ∣ = \frac{55}{6}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 20 = - \frac{55}{6} or x - 20 = \frac{55}{6}

x - 20 = - \frac{55}{6} or x - 20 = \frac{55}{6}

x = \frac{65}{6} or x = \frac{175}{6}

- \frac{5 x}{3} = 15

x^{2} - 6 x = 27

2 ∣ 3 x - 4 ∣ + 7 = + 9

892 = 6 ∣ - 2 u - 450 ∣ - 8

- 3 ∣ 15 + x ∣ + 5 = - 10

What is the answer to 6|x-20|-5=50 ?
The answer to 6|x-20|-5=50 is x= 65/6 \lor x= 175/6
Solve for x: 6|x-20|-5=50
The solution is x= 65/6 \lor x= 175/6