What is the answer to 5|2x-5|-7=3 ?

The answer to 5|2x-5|-7=3 is x= 3/2 \lor x= 7/2

Solve for x: 5|2x-5|-7=3

The solution is x= 3/2 \lor x= 7/2

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5 ∣ 2 x - 5 ∣ - 7 = 3

x = \frac{3}{2} or x = \frac{7}{2}

Decimal

x = 1.5, x = 3.5

Solution steps

5 ∣ 2 x - 5 ∣ - 7 = 3

Move

7

to the right side

5 ∣ 2 x - 5 ∣ = 10

Divide both sides by

5

∣ 2 x - 5 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 5 = - 2 or 2 x - 5 = 2

2 x - 5 = - 2 or 2 x - 5 = 2

x = \frac{3}{2} or x = \frac{7}{2}

∣ x - 1 ∣ = ∣ x + 1 ∣

\frac{∣ x - 10 ∣}{8} = 1

∣ x - 1 ∣ + ∣ x + 7 ∣ = 8

x, f = s g n x \cdot ∣ x ∣

3 = ∣ 3 x - 2 ∣

What is the answer to 5|2x-5|-7=3 ?
The answer to 5|2x-5|-7=3 is x= 3/2 \lor x= 7/2
Solve for x: 5|2x-5|-7=3
The solution is x= 3/2 \lor x= 7/2