What is the answer to 7|-2x+5|-10=11 ?

The answer to 7|-2x+5|-10=11 is x=1\lor x=4

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7|-2x+5|-10=11

7 ∣ - 2 x + 5 ∣ - 10 = 11

x = 1 or x = 4

Solution steps

7 ∣ - 2 x + 5 ∣ - 10 = 11

Move

10

to the right side

7 ∣ - 2 x + 5 ∣ = 21

Divide both sides by

7

∣ - 2 x + 5 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- 2 x + 5 = - 3 or - 2 x + 5 = 3

- 2 x + 5 = - 3 or - 2 x + 5 = 3

x = 1 or x = 4

8 = ∣ w + 4 ∣ + 8

- 12 = ∣ 5 t ∣ - 9

∣ x + 5 ∣ - 3 = 8

∣ 2 x - 5 ∣ = x - 2

∣ 4 x - 3 ∣ + 2 = 2

What is the answer to 7|-2x+5|-10=11 ?
The answer to 7|-2x+5|-10=11 is x=1\lor x=4
Solve for x: 7|-2x+5|-10=11
The solution is x=1\lor x=4