What is the answer to 2|2x-7|+11=25 ?

The answer to 2|2x-7|+11=25 is x=0\lor x=7

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2|2x-7|+11=25

2 ∣ 2 x - 7 ∣ + 11 = 25

x = 0 or x = 7

Solution steps

2 ∣ 2 x - 7 ∣ + 11 = 25

Move

11

to the right side

2 ∣ 2 x - 7 ∣ = 14

Divide both sides by

2

∣ 2 x - 7 ∣ = 7

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 7 or 2 x - 7 = 7

2 x - 7 = - 7 or 2 x - 7 = 7

x = 0 or x = 7

∣ x - 1 ∣ = 2 x + 4

∣ 5 x + 4 ∣ = 3 x - 2

∣ 3 x + 1 ∣ + 6 = 4

10 = ∣ d - 30 ∣

∣ 6 p - 2 ∣ + 4 = 10

What is the answer to 2|2x-7|+11=25 ?
The answer to 2|2x-7|+11=25 is x=0\lor x=7
Solve for x: 2|2x-7|+11=25
The solution is x=0\lor x=7