What is the answer to |6x-12|+7=19 ?

The answer to |6x-12|+7=19 is x=0\lor x=4

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|6x-12|+7=19

∣ 6 x - 12 ∣ + 7 = 19

x = 0 or x = 4

Solution steps

∣ 6 x - 12 ∣ + 7 = 19

Move

7

to the right side

∣ 6 x - 12 ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 12 = - 12 or 6 x - 12 = 12

6 x - 12 = - 12 or 6 x - 12 = 12

x = 0 or x = 4

x^{2} + x - 36 = 6

∣ 0.5 x + 2 ∣ - (2 x - 7) = 0

∣ 2 x + 8 ∣ = 3 x + 2

15 ∣ x ∣ = 16 - x^{2}

2 ∣ 4 x + 1 ∣ - 5 = 1