(2-4x)-(3x^2-5)=12-(3x^2+6x+3)

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Solution for (2-4x)-(3x^2-5)=12-(3x^2+6x+3) equation:


Simplifying
(2 + -4x) + -1(3x2 + -5) = 12 + -1(3x2 + 6x + 3)

Remove parenthesis around (2 + -4x)
2 + -4x + -1(3x2 + -5) = 12 + -1(3x2 + 6x + 3)

Reorder the terms:
2 + -4x + -1(-5 + 3x2) = 12 + -1(3x2 + 6x + 3)
2 + -4x + (-5 * -1 + 3x2 * -1) = 12 + -1(3x2 + 6x + 3)
2 + -4x + (5 + -3x2) = 12 + -1(3x2 + 6x + 3)

Reorder the terms:
2 + 5 + -4x + -3x2 = 12 + -1(3x2 + 6x + 3)

Combine like terms: 2 + 5 = 7
7 + -4x + -3x2 = 12 + -1(3x2 + 6x + 3)

Reorder the terms:
7 + -4x + -3x2 = 12 + -1(3 + 6x + 3x2)
7 + -4x + -3x2 = 12 + (3 * -1 + 6x * -1 + 3x2 * -1)
7 + -4x + -3x2 = 12 + (-3 + -6x + -3x2)

Combine like terms: 12 + -3 = 9
7 + -4x + -3x2 = 9 + -6x + -3x2

Add '3x2' to each side of the equation.
7 + -4x + -3x2 + 3x2 = 9 + -6x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + -4x + 0 = 9 + -6x + -3x2 + 3x2
7 + -4x = 9 + -6x + -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + -4x = 9 + -6x + 0
7 + -4x = 9 + -6x

Solving
7 + -4x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
7 + -4x + 6x = 9 + -6x + 6x

Combine like terms: -4x + 6x = 2x
7 + 2x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
7 + 2x = 9 + 0
7 + 2x = 9

Add '-7' to each side of the equation.
7 + -7 + 2x = 9 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 9 + -7
2x = 9 + -7

Combine like terms: 9 + -7 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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