What is the answer to 8+2|5x-10|=15 ?

The answer to 8+2|5x-10|=15 is x= 13/10 \lor x= 27/10

Solve for x: 8+2|5x-10|=15

The solution is x= 13/10 \lor x= 27/10

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8 + 2 ∣ 5 x - 10 ∣ = 15

x = \frac{13}{10} or x = \frac{27}{10}

Solution steps

8 + 2 ∣ 5 x - 10 ∣ = 15

Move

8

to the right side

2 ∣ 5 x - 10 ∣ = 7

Divide both sides by

2

∣ 5 x - 10 ∣ = \frac{7}{2}

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x - 10 = - \frac{7}{2} or 5 x - 10 = \frac{7}{2}

5 x - 10 = - \frac{7}{2} or 5 x - 10 = \frac{7}{2}

x = \frac{13}{10} or x = \frac{27}{10}

∣ 5 - 7 x ∣ = 9

4 = ∣ v - 3 ∣

2 + ∣ 2 x - 4 ∣ = 10

∣ 3 x - 1 ∣ = 2 x - 3

2 ∣ x + 5 ∣ = 0

What is the answer to 8+2|5x-10|=15 ?
The answer to 8+2|5x-10|=15 is x= 13/10 \lor x= 27/10
Solve for x: 8+2|5x-10|=15
The solution is x= 13/10 \lor x= 27/10