What is the answer to |5x+2|-6=27 ?

The answer to |5x+2|-6=27 is x=-7\lor x= 31/5

Solve for x: |5x+2|-6=27

The solution is x=-7\lor x= 31/5

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∣ 5 x + 2 ∣ - 6 = 27

x = - 7 or x = \frac{31}{5}

Decimal Notation

x = - 7, x = 6.2

Solution steps

∣ 5 x + 2 ∣ - 6 = 27

Move

6

to the right side

∣ 5 x + 2 ∣ = 33

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

5 x + 2 = - 33 or 5 x + 2 = 33

5 x + 2 = - 33 or 5 x + 2 = 33

x = - 7 or x = \frac{31}{5}

2 = ∣ s - 5 ∣

- 3 ∣ x - 7 ∣ + 2 = - 13

∣ w - 7 ∣ = 0

∣ w + 4 ∣ = 5

2 ∣ 3 x ∣ + 3 = 19

What is the answer to |5x+2|-6=27 ?
The answer to |5x+2|-6=27 is x=-7\lor x= 31/5
Solve for x: |5x+2|-6=27
The solution is x=-7\lor x= 31/5