What is the answer to 5|2-2x|+3=63 ?

The answer to 5|2-2x|+3=63 is x=-5\lor x=7

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5|2-2x|+3=63

5 ∣ 2 - 2 x ∣ + 3 = 63

x = - 5 or x = 7

Solution steps

5 ∣ 2 - 2 x ∣ + 3 = 63

Move

3

to the right side

5 ∣ 2 - 2 x ∣ = 60

Divide both sides by

5

∣ 2 - 2 x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

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

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

x = - 5 or x = 7

x + 3 = 14

x - 8 = - 4

0 = x^{2} - 7 x + 10

x^{2} + 3 = 4 x

(2 x + 3 i) (2 x - 3 i)