What is the answer to 3/4 |4x|=12 ?

The answer to 3/4 |4x|=12 is x=-4\lor x=4

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3/4 |4x|=12

\frac{3}{4} ∣ 4 x ∣ = 12

x = - 4 or x = 4

Solution steps

\frac{3}{4} ∣ 4 x ∣ = 12

Multiply both sides by

4

3 ∣ 4 x ∣ = 48

Divide both sides by

3

∣ 4 x ∣ = 16

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x = - 16 or 4 x = 16

4 x = - 16 or 4 x = 16

x = - 4 or x = 4

x = ∣ x + 5 ∣

∣ t - 2 ∣ = 17

2 ∣ 6 - x ∣ = - 4 x

18 ∣ x ∣ = 19 - x^{2}

6 ∣ x - 20 ∣ - 5 = 50