What is the answer to |2x+7|-4=6 ?

The answer to |2x+7|-4=6 is x=-17/2 \lor x= 3/2

Solve for x: |2x+7|-4=6

The solution is x=-17/2 \lor x= 3/2

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∣ 2 x + 7 ∣ - 4 = 6

x = - \frac{17}{2} or x = \frac{3}{2}

Decimal Notation

x = - 8.5, x = 1.5

Solution steps

∣ 2 x + 7 ∣ - 4 = 6

Move

4

to the right side

∣ 2 x + 7 ∣ = 10

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 7 = - 10 or 2 x + 7 = 10

2 x + 7 = - 10 or 2 x + 7 = 10

x = - \frac{17}{2} or x = \frac{3}{2}

20 = ∣ 3 y - 11 ∣

5 ∣ 3 x - 9 ∣ + 11 = 24

∣ 4 x + 1 ∣ + 9 = 17

10 - 2 ∣ x - 2 ∣ = 3

11 - 3 ∣ x - 1 ∣ = 1

What is the answer to |2x+7|-4=6 ?
The answer to |2x+7|-4=6 is x=-17/2 \lor x= 3/2
Solve for x: |2x+7|-4=6
The solution is x=-17/2 \lor x= 3/2