What is the answer to |2x+4|-5=6 ?

The answer to |2x+4|-5=6 is x=-15/2 \lor x= 7/2

Solve for x: |2x+4|-5=6

The solution is x=-15/2 \lor x= 7/2

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∣ 2 x + 4 ∣ - 5 = 6

x = - \frac{15}{2} or x = \frac{7}{2}

Decimal Notation

x = - 7.5, x = 3.5

Solution steps

∣ 2 x + 4 ∣ - 5 = 6

Move

5

to the right side

∣ 2 x + 4 ∣ = 11

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x + 4 = - 11 or 2 x + 4 = 11

2 x + 4 = - 11 or 2 x + 4 = 11

x = - \frac{15}{2} or x = \frac{7}{2}

3 ∣ 2 x - 5 ∣ + 12 = 7

∣ x - 2 ∣ + 3 x - 1 = 0

4 - ∣ 5 - 3 x ∣ = 0

∣ 2 x + 1 ∣ = 1

- 5 ∣ 9 k ∣ + 1 = - 89

What is the answer to |2x+4|-5=6 ?
The answer to |2x+4|-5=6 is x=-15/2 \lor x= 7/2
Solve for x: |2x+4|-5=6
The solution is x=-15/2 \lor x= 7/2