3[4-2(x-1)x]-2x(1-3x)=2-3(x-1)

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Solution for 3[4-2(x-1)x]-2x(1-3x)=2-3(x-1) equation: 


Simplifying
3[4 + -2(x + -1) * x] + -2x(1 + -3x) = 2 + -3(x + -1)

Reorder the terms:
3[4 + -2(-1 + x) * x] + -2x(1 + -3x) = 2 + -3(x + -1)

Reorder the terms for easier multiplication:
3[4 + -2x(-1 + x)] + -2x(1 + -3x) = 2 + -3(x + -1)
3[4 + (-1 * -2x + x * -2x)] + -2x(1 + -3x) = 2 + -3(x + -1)
3[4 + (2x + -2x2)] + -2x(1 + -3x) = 2 + -3(x + -1)
[4 * 3 + 2x * 3 + -2x2 * 3] + -2x(1 + -3x) = 2 + -3(x + -1)
[12 + 6x + -6x2] + -2x(1 + -3x) = 2 + -3(x + -1)
12 + 6x + -6x2 + (1 * -2x + -3x * -2x) = 2 + -3(x + -1)
12 + 6x + -6x2 + (-2x + 6x2) = 2 + -3(x + -1)

Reorder the terms:
12 + 6x + -2x + -6x2 + 6x2 = 2 + -3(x + -1)

Combine like terms: 6x + -2x = 4x
12 + 4x + -6x2 + 6x2 = 2 + -3(x + -1)

Combine like terms: -6x2 + 6x2 = 0
12 + 4x + 0 = 2 + -3(x + -1)
12 + 4x = 2 + -3(x + -1)

Reorder the terms:
12 + 4x = 2 + -3(-1 + x)
12 + 4x = 2 + (-1 * -3 + x * -3)
12 + 4x = 2 + (3 + -3x)

Combine like terms: 2 + 3 = 5
12 + 4x = 5 + -3x

Solving
12 + 4x = 5 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
12 + 4x + 3x = 5 + -3x + 3x

Combine like terms: 4x + 3x = 7x
12 + 7x = 5 + -3x + 3x

Combine like terms: -3x + 3x = 0
12 + 7x = 5 + 0
12 + 7x = 5

Add '-12' to each side of the equation.
12 + -12 + 7x = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = 5 + -12
7x = 5 + -12

Combine like terms: 5 + -12 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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