What is the answer to 2x(6x-1)+21=8x-x(3-12x) ?

The answer to 2x(6x-1)+21=8x-x(3-12x) is x=3

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2x(6x-1)+21=8x-x(3-12x)

2 x (6 x - 1) + 21 = 8 x - x (3 - 12 x)

x = 3

Solution steps

2 x (6 x - 1) + 21 = 8 x - x (3 - 12 x)

Expand

2 x (6 x - 1) : 12 x^{2} - 2 x

12 x^{2} - 2 x + 21 = 8 x - x (3 - 12 x)

Expand

- x (3 - 12 x) : - 3 x + 12 x^{2}

12 x^{2} - 2 x + 21 = 8 x - 3 x + 12 x^{2}

Add similar elements:

8 x - 3 x = 5 x

12 x^{2} - 2 x + 21 = 5 x + 12 x^{2}

Move

21

to the right side

12 x^{2} - 2 x = 5 x + 12 x^{2} - 21

Subtract

5 x + 12 x^{2}

from both sides

12 x^{2} - 2 x - (5 x + 12 x^{2}) = 5 x + 12 x^{2} - 21 - (5 x + 12 x^{2})

Simplify

- 7 x = - 21

Divide both sides by

- 7

x = 3

y = lo g_{6} (1)

- 2 x + 4 = 6

x = 3 x - 1

(\frac{x - 3}{5}) = \frac{6}{10}

2 x + 1 = 4 (2 x + 1)

What is the answer to 2x(6x-1)+21=8x-x(3-12x) ?
The answer to 2x(6x-1)+21=8x-x(3-12x) is x=3
Solve for x: 2x(6x-1)+21=8x-x(3-12x)
The solution is x=3