What is the answer to 4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6) ?

The answer to 4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6) is x= 11/5

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4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6)

4 x - \frac{1}{3} [15 x - 3 (- 1 + 2 x)] = \frac{3}{2} (9 - x - 6)

x = \frac{11}{5}

Solution steps

4 x - \frac{1}{3} [15 x - 3 (- 1 + 2 x)] = \frac{3}{2} (9 - x - 6)

\frac{1}{3} (15 x - 3 (- 1 + 2 x)) = \frac{15 x - 3 ( - 1 + 2 x )}{3}

4 x - \frac{15 x - 3 ( - 1 + 2 x )}{3} = \frac{3}{2} (9 - x - 6)

Multiply by LCM

24 x - 6 (3 x + 1) = 9 (- x + 3)

Expand

- 6 (3 x + 1) : - 18 x - 6

24 x - 18 x - 6 = 9 (- x + 3)

Add similar elements:

24 x - 18 x = 6 x

6 x - 6 = 9 (- x + 3)

Expand

9 (- x + 3) : - 9 x + 27

6 x - 6 = - 9 x + 27

Move

6

to the right side

6 x = - 9 x + 33

Move

9 x

to the left side

15 x = 33

Divide both sides by

15

x = \frac{11}{5}

12 - 5 x - 2 x^{2} \geq 0

x^{3} + 7 x^{2} + 16 x + 12

5 x - 8 x - 14 = 1

3 y^{4} - 75 x^{2} y^{2}

2 n \geq 16

What is the answer to 4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6) ?
The answer to 4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6) is x= 11/5
Solve for x: 4x-1/3 [15x-3(-1+2x)]= 3/2 (9-x-6)
The solution is x= 11/5