What is the answer to 3|2x-1|+4=22 ?

The answer to 3|2x-1|+4=22 is x=-5/2 \lor x= 7/2

Solve for x: 3|2x-1|+4=22

The solution is x=-5/2 \lor x= 7/2

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3 ∣ 2 x - 1 ∣ + 4 = 22

x = - \frac{5}{2} or x = \frac{7}{2}

Solution steps

3 ∣ 2 x - 1 ∣ + 4 = 22

Move

4

to the right side

3 ∣ 2 x - 1 ∣ = 18

Divide both sides by

3

∣ 2 x - 1 ∣ = 6

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 x - 1 = - 6 or 2 x - 1 = 6

2 x - 1 = - 6 or 2 x - 1 = 6

x = - \frac{5}{2} or x = \frac{7}{2}

∣ - 7 u ∣ = 14

42 - ∣ x ∣ = 13

9 + 3 ∣ - 5 x + 5 ∣ = - 18

∣ x - 1 ∣ = 12 x + 3

∣ - 4 x ∣ = 16

What is the answer to 3|2x-1|+4=22 ?
The answer to 3|2x-1|+4=22 is x=-5/2 \lor x= 7/2
Solve for x: 3|2x-1|+4=22
The solution is x=-5/2 \lor x= 7/2