What is the answer to |x-7+6x|-6=22 ?

The answer to |x-7+6x|-6=22 is x=-3\lor x=5

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|x-7+6x|-6=22

∣ x - 7 + 6 x ∣ - 6 = 22

x = - 3 or x = 5

Solution steps

∣ x - 7 + 6 x ∣ - 6 = 22

Move

6

to the right side

∣ x - 7 + 6 x ∣ = 28

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

x - 7 + 6 x = - 28 or x - 7 + 6 x = 28

x - 7 + 6 x = - 28 or x - 7 + 6 x = 28

x = - 3 or x = 5

4 - 6 ∣ 8 x - 4 ∣ = 58

∣ α + (α - 1) + (α + 1) ∣ = 2

4 ∣ 3 x - 6 ∣ + 3 = 15

∣ 14 x + 8 ∣ + 7 = 2

∣ 2 x + 2 ∣ = 13

What is the answer to |x-7+6x|-6=22 ?
The answer to |x-7+6x|-6=22 is x=-3\lor x=5
Solve for x: |x-7+6x|-6=22
The solution is x=-3\lor x=5