What is the answer to 6+|2x-11|=37 ?

The answer to 6+|2x-11|=37 is x=-10\lor x=21

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6+|2x-11|=37

6 + ∣ 2 x - 11 ∣ = 37

x = - 10 or x = 21

Solution steps

6 + ∣ 2 x - 11 ∣ = 37

Move

6

to the right side

∣ 2 x - 11 ∣ = 31

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 11 = - 31 or 2 x - 11 = 31

2 x - 11 = - 31 or 2 x - 11 = 31

x = - 10 or x = 21

∣ 3 x - 4 ∣ - 5 = 0

\frac{x}{9} = 3

∣ 2 t - 4 ∣ = 8

∣ 2 x + 5 ∣ + 12 = 7

∣ x - 1 ∣ 1 + 7 = 23

What is the answer to 6+|2x-11|=37 ?
The answer to 6+|2x-11|=37 is x=-10\lor x=21
Solve for x: 6+|2x-11|=37
The solution is x=-10\lor x=21