What is the answer to 3/4 |x|=9 ?

The answer to 3/4 |x|=9 is x=-12\lor x=12

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3/4 |x|=9

\frac{3}{4} ∣ x ∣ = 9

x = - 12 or x = 12

Solution steps

\frac{3}{4} ∣ x ∣ = 9

Multiply both sides by

4

3 ∣ x ∣ = 36

Divide both sides by

3

∣ x ∣ = 12

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x = - 12 or x = 12

∣ 2 x - 5 ∣ + 3 x = 4 x + 2

\frac{1}{2} ∣ 3 x - 9 ∣ = 5

∣ x + 7 ∣ = 8

∣ x + 7 ∣ = 4

∣ 2 x + 4 ∣ = 0