What is the answer to 3|-3/2 x+8|+9=24 ?

The answer to 3|-3/2 x+8|+9=24 is x=2\lor x= 26/3

Solve for x: 3|-3/2 x+8|+9=24

The solution is x=2\lor x= 26/3

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3 - \frac{3}{2} x + 8 + 9 = 24

x = 2 or x = \frac{26}{3}

Decimal

x = 2, x = 8.66666 \dots

Solution steps

3 - \frac{3}{2} x + 8 + 9 = 24

Move

9

to the right side

3 - \frac{3}{2} x + 8 = 15

Divide both sides by

3

- \frac{3}{2} x + 8 = 5

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

- \frac{3}{2} x + 8 = - 5 or - \frac{3}{2} x + 8 = 5

- \frac{3}{2} x + 8 = - 5 or - \frac{3}{2} x + 8 = 5

x = 2 or x = \frac{26}{3}

5 = 3 \frac{1}{2} y - 4 - 7

18 - 3 x - x^{2} = 3 - x

∣ 7 x - 5 ∣ - 1 = 3

- 2 ∣ x - 4 ∣ + 3 = - 5

∣ 2 x - 3 ∣ + 7 = 2

What is the answer to 3|-3/2 x+8|+9=24 ?
The answer to 3|-3/2 x+8|+9=24 is x=2\lor x= 26/3
Solve for x: 3|-3/2 x+8|+9=24
The solution is x=2\lor x= 26/3