What is the answer to 2|4x-6|=6 ?

The answer to 2|4x-6|=6 is x= 3/4 \lor x= 9/4

Solve for x: 2|4x-6|=6

The solution is x= 3/4 \lor x= 9/4

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2 ∣ 4 x - 6 ∣ = 6

x = \frac{3}{4} or x = \frac{9}{4}

Decimal Notation

x = 0.75, x = 2.25

Solution steps

2 ∣ 4 x - 6 ∣ = 6

Divide both sides by

2

∣ 4 x - 6 ∣ = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

4 x - 6 = - 3 or 4 x - 6 = 3

4 x - 6 = - 3 or 4 x - 6 = 3

x = \frac{3}{4} or x = \frac{9}{4}

- 1 = ∣ h + 3 ∣ - 8

0 = ∣ - 8 k ∣

\frac{1}{3} x - 3 = 3

∣ 3 x - 6 ∣ = - 8

- 4 ∣ a + 5 ∣ = - 8