What is the answer to -7+2|-2x+10|=9 ?

The answer to -7+2|-2x+10|=9 is x=1\lor x=9

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-7+2|-2x+10|=9

- 7 + 2 ∣ - 2 x + 10 ∣ = 9

x = 1 or x = 9

Solution steps

- 7 + 2 ∣ - 2 x + 10 ∣ = 9

Move

7

to the right side

2 ∣ - 2 x + 10 ∣ = 16

Divide both sides by

2

∣ - 2 x + 10 ∣ = 8

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x + 10 = - 8 or - 2 x + 10 = 8

- 2 x + 10 = - 8 or - 2 x + 10 = 8

x = 1 or x = 9

∣ 3 x + 8 ∣ = 5

3 = ∣ 2 x - 14 ∣

x^{3} - ∣ x ∣ = 0

(x - 5)^{2} = ∣ 2 x - 1 ∣

∣ 5 x + 3 ∣ = 0

What is the answer to -7+2|-2x+10|=9 ?
The answer to -7+2|-2x+10|=9 is x=1\lor x=9
Solve for x: -7+2|-2x+10|=9
The solution is x=1\lor x=9