What is the answer to 6-|5x-10|=4 ?

The answer to 6-|5x-10|=4 is x= 8/5 \lor x= 12/5

Solve for x: 6-|5x-10|=4

The solution is x= 8/5 \lor x= 12/5

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6 - ∣ 5 x - 10 ∣ = 4

x = \frac{8}{5} or x = \frac{12}{5}

Decimal Notation

x = 1.6, x = 2.4

Solution steps

6 - ∣ 5 x - 10 ∣ = 4

Move

6

to the right side

- ∣ 5 x - 10 ∣ = - 2

Divide both sides by

- 1

∣ 5 x - 10 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 10 = - 2 or 5 x - 10 = 2

5 x - 10 = - 2 or 5 x - 10 = 2

x = \frac{8}{5} or x = \frac{12}{5}

∣ x - 6 ∣ = 4

∣ 8 y - 3 ∣ = 13

2 - ∣ 1 + x ∣ = 0

∣ 3 x - 6 ∣ - 9 = - 3

- 5 ∣ 3 + 3 x ∣ + 6 = - 9

What is the answer to 6-|5x-10|=4 ?
The answer to 6-|5x-10|=4 is x= 8/5 \lor x= 12/5
Solve for x: 6-|5x-10|=4
The solution is x= 8/5 \lor x= 12/5