2x(3x-2)-1(3x-2)=2x(3x+2)+3x+2

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Solution for 2x(3x-2)-1(3x-2)=2x(3x+2)+3x+2 equation: 


Simplifying
2x(3x + -2) + -1(3x + -2) = 2x(3x + 2) + 3x + 2

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

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

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

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

Reorder the terms:
2 + -7x + 6x2 = 2x(2 + 3x) + 3x + 2
2 + -7x + 6x2 = (2 * 2x + 3x * 2x) + 3x + 2
2 + -7x + 6x2 = (4x + 6x2) + 3x + 2

Reorder the terms:
2 + -7x + 6x2 = 2 + 4x + 3x + 6x2

Combine like terms: 4x + 3x = 7x
2 + -7x + 6x2 = 2 + 7x + 6x2

Add '-2' to each side of the equation.
2 + -7x + -2 + 6x2 = 2 + 7x + -2 + 6x2

Reorder the terms:
2 + -2 + -7x + 6x2 = 2 + 7x + -2 + 6x2

Combine like terms: 2 + -2 = 0
0 + -7x + 6x2 = 2 + 7x + -2 + 6x2
-7x + 6x2 = 2 + 7x + -2 + 6x2

Reorder the terms:
-7x + 6x2 = 2 + -2 + 7x + 6x2

Combine like terms: 2 + -2 = 0
-7x + 6x2 = 0 + 7x + 6x2
-7x + 6x2 = 7x + 6x2

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

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

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

Solving
-7x = 7x

Solving for variable 'x'.

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

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

Combine like terms: -7x + -7x = -14x
-14x = 7x + -7x

Combine like terms: 7x + -7x = 0
-14x = 0

Divide each side by '-14'.
x = 0

Simplifying
x = 0

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