What is the answer to |2x-7|-13=-9 ?

The answer to |2x-7|-13=-9 is x= 3/2 \lor x= 11/2

Solve for x: |2x-7|-13=-9

The solution is x= 3/2 \lor x= 11/2

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∣ 2 x - 7 ∣ - 13 = - 9

x = \frac{3}{2} or x = \frac{11}{2}

Decimal Notation

x = 1.5, x = 5.5

Solution steps

∣ 2 x - 7 ∣ - 13 = - 9

Move

13

to the right side

∣ 2 x - 7 ∣ = 4

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 7 = - 4 or 2 x - 7 = 4

2 x - 7 = - 4 or 2 x - 7 = 4

x = \frac{3}{2} or x = \frac{11}{2}

∣ 5 x + 2 ∣ = 15

∣ 5 x + 2 ∣ = 17

∣ 5 x + 2 ∣ = 14

∣ x + 5 ∣ = 2 x - 1

- ∣ t ∣ = 0

What is the answer to |2x-7|-13=-9 ?
The answer to |2x-7|-13=-9 is x= 3/2 \lor x= 11/2
Solve for x: |2x-7|-13=-9
The solution is x= 3/2 \lor x= 11/2