What is the answer to |3x|+7=13 ?

The answer to |3x|+7=13 is x=-2\lor x=2

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|3x|+7=13

∣ 3 x ∣ + 7 = 13

x = - 2 or x = 2

Solution steps

∣ 3 x ∣ + 7 = 13

Move

7

to the right side

∣ 3 x ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

3 x = - 6 or 3 x = 6

3 x = - 6 or 3 x = 6

x = - 2 or x = 2

∣ x + 10 ∣ = 4

∣ x - 5 ∣ + 9 = 0

∣ 4 m + 2 ∣ = 10

x^{2} - x - 12 = 0

∣ x - 5 ∣ = - 13