What is the answer to 10+|2x-12|-14=0 ?

The answer to 10+|2x-12|-14=0 is x=4\lor x=8

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10+|2x-12|-14=0

10 + ∣ 2 x - 12 ∣ - 14 = 0

x = 4 or x = 8

Solution steps

10 + ∣ 2 x - 12 ∣ - 14 = 0

Group like terms

∣ 2 x - 12 ∣ + 10 - 14 = 0

Add/Subtract the numbers:

10 - 14 = - 4

∣ 2 x - 12 ∣ - 4 = 0

Move

4

to the right side

∣ 2 x - 12 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 12 = - 4 or 2 x - 12 = 4

2 x - 12 = - 4 or 2 x - 12 = 4

x = 4 or x = 8

3 ∣ x - 8 ∣ + 4 = 25

6 + ∣ 4 x + 2 ∣ = 20

∣ 3 x + 4 ∣ + 7 = 6

- ∣ 2 x - 5 ∣ = - 9

∣ x ∣^{2} = x^{2}

What is the answer to 10+|2x-12|-14=0 ?
The answer to 10+|2x-12|-14=0 is x=4\lor x=8
Solve for x: 10+|2x-12|-14=0
The solution is x=4\lor x=8