What is the answer to |6x-3|+14=47 ?

The answer to |6x-3|+14=47 is x=-5\lor x=6

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|6x-3|+14=47

∣ 6 x - 3 ∣ + 14 = 47

x = - 5 or x = 6

Solution steps

∣ 6 x - 3 ∣ + 14 = 47

Move

14

to the right side

∣ 6 x - 3 ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 x - 3 = - 33 or 6 x - 3 = 33

6 x - 3 = - 33 or 6 x - 3 = 33

x = - 5 or x = 6

∣ 2 n + 3 ∣ = - 3

\frac{1}{2} ∣ x ∣ - 6 = 4

4 - 3 ∣ 5 x - 7 ∣ = - 2

∣ 7 x + 3 ∣ - 6 x + 4 = 0

∣ x - 6 ∣ = 0.03