What is the answer to 3|2x|-9.75=2 1/4 ?

The answer to 3|2x|-9.75=2 1/4 is x=-2\lor x=2

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3|2x|-9.75=2 1/4

3 ∣ 2 x ∣ - 9.75 = 2 \frac{1}{4}

x = - 2 or x = 2

Solution steps

3 ∣ 2 x ∣ - 9.75 = 2 \frac{1}{4}

Convert mixed numbers to improper fractions:

2 \frac{1}{4} = \frac{9}{4}

3 ∣ 2 x ∣ - 9.75 = \frac{9}{4}

Move

9.75

to the right side

3 ∣ 2 x ∣ = 12

Divide both sides by

3

∣ 2 x ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x = - 4 or 2 x = 4

2 x = - 4 or 2 x = 4

x = - 2 or x = 2

5 ∣ 2 x + 3 ∣ + 4 x = 15

∣ 2 x ∣ = 4

∣ x - 2 ∣ = ∣ x + 2 ∣

∣ x - 1 ∣ - ∣ 2 x - 3 ∣ = 2

∣ 2 x + 5 ∣ + 8 = 5

What is the answer to 3|2x|-9.75=2 1/4 ?
The answer to 3|2x|-9.75=2 1/4 is x=-2\lor x=2
Solve for x: 3|2x|-9.75=2 1/4
The solution is x=-2\lor x=2