What is the answer to 2|6-2x|+6=10 ?

The answer to 2|6-2x|+6=10 is x=2\lor x=4

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2|6-2x|+6=10

2 ∣ 6 - 2 x ∣ + 6 = 10

x = 2 or x = 4

Solution steps

2 ∣ 6 - 2 x ∣ + 6 = 10

Move

6

to the right side

2 ∣ 6 - 2 x ∣ = 4

Divide both sides by

2

∣ 6 - 2 x ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - 2 x = - 2 or 6 - 2 x = 2

6 - 2 x = - 2 or 6 - 2 x = 2

x = 2 or x = 4

x^{\frac{1}{2}} \cdot x^{3}

20 t + \frac{1}{2} (9.8) t^{2} = 12 t + \frac{1}{2} (- 9.8) (t - 3)^{2}

40 = t^{2} + 3 t

x^{4} - 4 x^{3} - x^{2} + 4 x

3 (x^{2} - 1) > - 8 x