What is the answer to 4|6-3/2 x|+6=18 ?

The answer to 4|6-3/2 x|+6=18 is x=2\lor x=6

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4|6-3/2 x|+6=18

4 6 - \frac{3}{2} x + 6 = 18

x = 2 or x = 6

Solution steps

4 6 - \frac{3}{2} x + 6 = 18

Move

6

to the right side

4 6 - \frac{3}{2} x = 12

Divide both sides by

4

6 - \frac{3}{2} x = 3

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

6 - \frac{3}{2} x = - 3 or 6 - \frac{3}{2} x = 3

6 - \frac{3}{2} x = - 3 or 6 - \frac{3}{2} x = 3

x = 2 or x = 6

∣ x - 3 ∣ = ∣ x - 5 ∣

- 5 ∣ 7 - y ∣ - 2 = - 17

2 - ∣ x ∣ = 0

∣ - 8 + p ∣ = 12

∣ x + 2 ∣ + 9 = 10

What is the answer to 4|6-3/2 x|+6=18 ?
The answer to 4|6-3/2 x|+6=18 is x=2\lor x=6
Solve for x: 4|6-3/2 x|+6=18
The solution is x=2\lor x=6